# How do I find a and b given the equation ax^2 + bx -4 and a vertex point of (1,-6)?

133,527 results

### Math

Find an equation of the parabola that has the indicated vertex and whose graph passes through the given point Vertex:2,-1 Point:4,-3

### math help plz2!!!!

Find an equation of parabola that has the indicated vertex and whose graph passes through the given point. Vertex (-3,5) Point (-6,1)

### Algebra 2

Find the equation for the parabola with the given vertex that passes through the given points. vertex (-4,2) point (-3,0) please show work!!!

### Algebra2

Write an equation of an ellipse in standard form with center at the origin and with the given vertex and co-vertex vertex at (-3,0) and co-vertex at (0.2)

### Math

Find the quadratic function that has the indicated vertex and whose graph passes through the given point. Vertex: (2,3) Point: (0,2) I do not know how to do this! Please explain!! Thank You

### Math

Find the quadratic function that has the indicated vertex and whose graph passes through the given point. Vertex: (2,3) Point: (0,2) I do not know how to do this! Please explain!! Thank You

### Algebra

Write an equation for the translation so the graph has the given vertex. 1. y=-|x| vertex (-5,0) 2. y=2|x| vertex (-4,3) 3. y=-|x| vertex (p,q) I really have no idea how to even begin these, but I do know the answer to # 2 is y=2|x|+11 and #3 is y=-|x-p|+q Thanks in advance. ...

### Algebra 2

How do I find a and b given the equation ax^2 + bx -4 and a vertex point of (1,-6)?

### College Algebra

Find the standard form of the equation of the parabola with the given characteristics and vertex at the origin. Passes through the point (-1, 1/8); vertical axis. There is no focus of the parabola or equation given, so how am I suppose to solve this problem?

### College Algebra

Find the standard form of the equation of the parabola with the given characteristics and vertex at the origin. Passes through the point (-5, 1/8); vertical axis. There is no focus of the parabola or equation given, so how am I suppose to solve this problem?

### equation of a line

How to find a point on the line? x cordinate is given as x. The diagram is like a rectangle is inscribed in an isosceles right triangle whose hypotneus is 2 units long. AB is another side of the right triangle and P is a point on it(also a vertex of the rectangle). How do I ...

### Math

Find an equation of the parabola with vertex at the origin that passes through the point (-36, 2) and opens to the left. I believe you start with (x-h)^2 = 4p(y-k) and plug in the given point and (0,0), and solve for p. I got y^2 = 144x. Is this correct? Thank you!

### Algebra

For the given quadratic equation convert into vertex form, find the vertex, and find the value for x = 6. Show your work. y = -2x2 + 2x +2 -(1/2)y=x^2-x-1 (-1/2)y+1=x^2-x (-1/2)y+1=(x-1/2)^2-14 (-1/2)y=(x-1/2)^2-5/4 y=-2(x-1/2)^2+5/2 Is this right ?

### maths

how do i find out the the equation of the line of symmetry for f(x)=ax^2+bx+c ? please explain it do me thanks! The line of symmetry runs through the vertex. so the x of the vertex is -b/(2a) and the equation of the line of symmetry is x = -b/(2a) e.g. for f(x) = 2x^2 - 12x + ...

### Algebra

For the given quadratic equation convert into vertex form, find the vertex, and find the value for x = 6. Show your work. y = -2x2 + 2x +2 -(1/2)y = x^2 - x - 1 (-1/2)y + 1 = x^2 - x (-1/2)y + 1 = (x - 1/2)^2 - 1/4 (-1/2)y = (x-1/2)^2 - 5/4 y = -2(x-1/2)^2 + 5/2 would this be ...

### math

Find the coordinates of th vertex and write the equation of the axis of symmetry given the function f(x)=-x^2-3x-2.Is the vertex a maximum or a minimum?

### math

Find the coordinates of th vertex and write the equation of the axis of symmetry given the function f(x)=-x^2-3x-2.Is the vertex a maximum or a minimum?

### college algebra

find the equation of a parabola that opens to the right with given vertex: (0,3) and passes through the point: (2,-1)

### algebra

A few more question Id like for someone to check please. 1) what are the vertex, focus, and directrix of the parabola with the given equation? x^2-8x-28y-124=0 vertex (4,-5) focus (0,7) directrix y=-12 2) write an equation of a circle with given center and radius. center(-7,-6...

### Math

Write the standard form of the quadratic function that has the indicated vertex and whose graph passes through the given point. Vertex: (-2, 5) Point: (0, 9)

### Pre-Cal

how do you find the vertex using two points, when no equation is given and neither points are the vertex? what formula can i use to find it?

### algebra

please show work Find the average rate of change for the given function on the given interval. 3. f(x)=x2-4x; -2 ≤x≤ 4 4. f(x)=2x-1; [0, 3] Find a Point-Slope equation for a line containing the given point and having the given slope. 9. (-7, 2), m = 3 10. (6, -2), m = -3 ...

### ALG. REPOST TYPO

Find the coordinates of the vertex and the equation of the axis of symmetry of the parabola given by the equation. x = −1/3y^2+4 vertex (x, y) = axis of symmetry Sketch the graph.

### ALG.

Find the coordinates of the vertex and the equation of the axis of symmetry of the parabola given by the equation. x = − 1-3y^2 + 4 vertex (x, y) = axis of symmetry ____ Sketch the graph

### Algebra

Find the vertex of the functions given below. 1. y=(x-4)(x+2) 2. y=2x^2-4x+1 The midpoint of the x-intercepts of a parabola has the same x value as the vertex. the x-intercepts are obviously x=4 and x=-2 so the x value of the vertex is...... sub that back into the equation to ...

### GRAPHING HELP

Find the coordinates of the vertex and the equation of the axis of symmetry of the parabola given by the equation. x = − 1/3^2+4 vertex (x, y) = axis of symmetry Sketch the graph.

### ALG

Find the coordinates of the vertex and the equation of the axis of symmetry of the parabola with the given equation. y = 8x^2 + 48x − 3 vertex (x, y) = axis of symmetry ________

### Alg 2 (ASAP)

I have a parabola vertex (11,3) p is not given, focus pt is not given. I need to find the equation of the parabola. How would I do this w/o p value or focus pt? you cant. Þhere are an infinite number of parabolas that have that vertex.

### algebra

determine the vertex for the function y=2x^2+5x-3 for y = ax^2 + bx + c, the x value of the vertex is -b/(2a) sub that x into your equation to find the y. Another way is to complete the square. so for yours, x = -5/4 etc. a third way, if you know Calculus, is to find the ...

### MATH! Urgent

umm suppose a parabola has a vertex at (0,2) and points (1,1) how would I derive the equation and focus, i've been trying to understand this for so long, I can't get it. Does this parabola have the equation (y-2)^2 = x and a focus of 1/4?? Is that correct?? I searched Google ...

### alg.

Find the coordinates of the vertex and the equation of the axis of symmetry of the parabola with the given equation. y = 8x2 + 48x − 3 vertex (x, y) = _____________ axis of symmetry _____________

### Math 11

write the equation in vertex form, of a parabola with vertex (5, -1) and that passes through the point (6, 8)

### Algebra 2

I am creating a project for math in which I have to draw an object using: parabolas, hyperbolas, circles,etc. We use conic section equations to identify where they are on the graph. I have confusion about writing the equation of parabolas. I know the equation is 4px=y^2 but I ...

### algebra

what is an equation of a parobola with the given vertex and focus? vertex(5,4) and focus(8,4) Can someone show me the steps to get the equation please?

### Math Help

With the given information below, write the standard form equation for the parabola. 1.) Vertex: (-1,2) Focus(-1,0) 2.) Vertex: (-2,1) Directrix x=1

### Algebra

graph the equation x-3=y (where do I plot the points?) find the intercepts and then graph: 5x+4y=20 find the intercepts and then graph: 1.4x-1.3y=3.64 graph the equation using slope and y-intercept: y=10/7x +4 graph using slope and y-intercept: x+2y=8 graph by plotting points ...

### Algebra HW

Find the vertex of the function y = –x2 + 2x + 8. it shows me different points as the answer. Im not sure how to find that point. Here are the points: (1,7) or (1,9) or (4,-2) or (-1,-9) Answered in a previous post. Here it is again: Here's a quick way to find the vertex. ...

### college alg

Find (a) the equation of a line that is parallel to the given line and includes the given point, and (b) the equation of a line that is perpendicular to the given line through the given point. Write both answers in slope-intercept form. y = -4x + 2, (5, 4)

### pre cal

What is the center of the conic whose equation is x^2 + 2y^2 - 6x + 8y = 0 2.Which one of the following equations represents a hyperbola? (5 points) A) 3x^2 + y^2 + 12x - 7 = 0 B) 3x^2 + 3y^2 + 12x - 7 = 0 C) 3x^2 + y + 12x - 7 = 0 D) 3x^2 - 3y^2 + 12x - 7 = 0 E) x^2 + y^2 + ...

### Math

A satellite dish in storage has parabolic cross sections and is resting on its vertex. A point on the rim is 4 ft high and is 6 ft horizontally from the vertex. How high is a point which is 3 ft horiozntally from the vertex? Draw a sketch and solve.

### Maths

A circle C passes through the point (-12,9) and is given by the equation (x-a)^2 + (y-b)^2 = r^2. If the equation of the tangent to the given circle at the point (-4,1) is given by x-y+5=0, find the values of a,b and r. The answers have to be a=-8, b=5 r=5.657

### Math

Given that x²cos y-sin y=0 ,(0,π): a)verfiy that given point is on the curve. b)use implicit differentiation to find the slope of the above curve at the given point. c)find the equation for tangent and normal to the curve at that point.

### Algebra 2

1.) The cost in C dollars of manufacturing x bicycles at Holliday's Production Plant is given by the function C(x) = 2x2 - 800x + 92,000. Find the minimum cost. 2.) The vertex of y = -3x2- 6x - 9 lies in which quadrant? 3.) Given f(x) = 1/3*(x - 4 )2 + 7. Identify the vertex. ...

### calc

for the parametric curve defined by x=3-2t^2 and y=5-2t ...sketch the curve using the parametric equation to plot of the point. use an arrow to indicate the direction of the curve for o<t<1. Find an equation for the line tangent to the curve at the point where t=-1. x=3...

### MATH

I had an assignment containing 45 problems, and I am unsure of 4, can you check and see if the answers are correct? 1. Write an equation of the line containing the given point and parallel line (5,-1), 3x-7y=9 My answer was: y=3/7x-22/7 2. Find the equation of the line having ...

### Math

I had an assignment containing 45 problems, and I am unsure of 4, can you check and see if the answers are correct? 1. Write an equation of the line containing the given point and parallel line (5,-1), 3x-7y=9 My answer was: y=3/7x-22/7 2. Find the equation of the line having ...

### Math

I had an assignment containing 45 problems, and I am unsure of 4, can you check and see if the answers are correct? 1. Write an equation of the line containing the given point and parallel line (5,-1), 3x-7y=9 My answer was: y=3/7x-22/7 2. Find the equation of the line having ...

### Math

find the equation of a parabola that has a vertex of (-2,-3) and contains the point (4,1).

### Math

how do i find the equation of a parabola given x intercepts x=0 and x=6 and a vertex at (3,4)?

### math

Find the coordinates of vertex for the parabola given by the equation f(x)=3x^2-x-1

### pre cal

write the standard form equation of the parabola with vertex (-2,-2) that goes through point (-1,0) y= a (x-b)^2 + c b has to be -2, that gives the shift to the left. y=a( x+2)^2 + c when x=-2, y=-2, that makes c -2 y=a( x+2)^2 -2 finally, put the point -1,0 in to find a.

### Pre Cal

write the equations of the parabola, the directrix, and the axis of symmetry. vertex: (-4,2) focus: (-4,6) if someone could explain how to do this problem then that would be great! thanks in advance! Formats to help you find the equation for a parabola: (x - h)^2 = 4p(y - k) ...

### algebra

Suppose a parabola has vertex (-4,7) and also passes through the point (-3,8), write the equation of the parabola in vertex form.

### Algebra

What is an equation of a parabola with the given vertex and focus? vertex: (-2,5); focus: (-2,6) I really need someone to explain how to do this. I am so confused.

### Honors Pre-Cal

We're reviewing and I forgot how to do this. Given y=x2-4+3 (x2 is x squared) a)write in standard from b)find vertex c)find equation of the axis of symmetry d)find the x-intercepts e)find the y-intercept

### Math

Using the following information for the Vertex and Directrix, write the standard form equation for the parabola with what is given below. Vertex: (-2,1) Directrix: x=1

### algebra

Suppose a parabola has a vertex (-4,7) and also passes through the point (-3,8) Write the equation of the parabola in vertex form. f(x)=a(x-h)^2+k I believe h=-4 k=7 Not sure what to do from here.

### Algebra

Find the equation of the parabola with its vertex at (h,k). Vertex: (-2.1) Focus: (-5,1) I know I put it into (y-k)^2=4(p)(x-h) so (y-1)^2=4(p)(x+2). How do I find the value of p?

### Algebra

Find the equation of the parabola with its vertex at (h,k). Vertex: (-2.1) Focus: (-5,1) I know I put it into (y-k)^2=4(p)(x-h) so (y-1)^2=4(p)(x+2). How do I find the value of p?

### math axis of symmety

What is the equation of the axis of symmetry of the graph with the order pairs of (-2,0) and (6,0). How would I do this since? I thought perhaps I could do -2+__=6 which would be 8 then 8/2 =4 so x=4 my brother says I'm suppose to do 6-2=4/2=2 so x=2 who's right or are we both...

### Albebra

Find the vertex of the function y = –x2 + 2x + 8. It is where the derivative -2x + 2 = 0. Since you probably haven't learned about derivatives, do it this way: Rewrite is as -x^2 +2x +8 = -(x-1)^2 + 7 Now look at the form of the formula on the right. It can never be greater ...

### math

i have more than one question so if u no any of the answers please tell me 1.) write the point-slope form of the equation of the line with slope -2 passing through the point ( -5, -9). 2.) write the point-slope form of an equation of the line through the points at ( -9, -9) ...

### Algebra

Find the vertex and the axis of symmetry for the parabola with the given equation y=5x2-30+47....

### College Algebra

A quadratic function has its vertex at the point (-9,8). The function passes through the point (9,4). When written in vertex form, the function is f(x)= a(x-h)^2 +k, where a) h)-9 k)8 4=a(9)^2+8 4=a(9+9)^2+8 4=a(18)^2+8 4=a(332) a=0.01204 I was able to find both h & k. but the...

### Math

I have a graph which I need to find the equation of. It's an absolute value graph, the vertex/middle point is at (-2, 5) and 2 points that lie on the graph are (1,10) and (-5,10). It needs to be in 'y=' form. I'd appreciate it if you explained how to do find the equation, too.

### Alg.

Find the coordinates of the vertex and the equation of the axis of symmetry of the parabola given by the equation. y = − 1/7 x^2 + x − 3 and graph it

### Algebra 2

f(x)=-x^2 - 3x Find the axis of symmetry, vertex, direction it opens, and write the equation in vertex form. If f(x) =x^2 + 2x g(x)= x-9 h(x) = 3x - 2 Find [f o g o h] (-2) Please explain how you got it I'm really confused right now.

### Algebra 2

-4x^2-2-3 Put the equation in vertex form and find the vertex

### math

Find the equation of the parabola determined by the given information: vertex at the origin, focus at (0,3)

### precalculus

Find (a) the equation of a line that is parallel to the given line and includes the given point, and (b) the equation of a line that is perpendicular to the given line through the given point. Write both answers in slope-intercept form. (c) Graph both of these lines on the ...

### Algebra

Can you please help me with the below question: The vertex of a parabola is located at (-12, -1). The parabola also passes through the point (-10, 5). Write the equation of this parabola in both vertex form and standard form. Vertex form: Standard form: Thank you

### Algebra

Find an equation of a line parallel to the given line and contains the given point. Write the equation in slope-intercept form. a. line 2x+3y=2 , point (0,0) b. line y+4=0, Point (-5,3)

### Algebra

Find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope-intercept form. a. line 3x+y=5, point (-1,2) b. line y=3x+1, point (6,1)

### Algebra

Write the equation of the line passing through the given point with the indicated slope. Give your results in slope-intercept form. Point: (0,5) Slope:m=3/5. Show work Well, youknow the form is y= mx+b you are given m. You are given a point (0,5) Put that point into the ...

### Calculus

A right triangle has one leg on the x-axis. The vertex at the right end of that leg is at the point (3,0). The other vertex touches the graph os y=e^x. the entire triangle is to lie in the first quadrant. Find the maximum area of this triangle.Justify your answer. My work: A...

### Algebra

Which of the following is not a step in graphing a quadratic function? A. Find the equation for the axis of symmetry. B. Find the slope. C. Find the coordinates for the vertex. D. Plug in values for x around the vertex to get values of y Is B correct?

### maths

The curve C with equation y=fx passes through the point (3, 14/2) given that f'(x)=2x+3/xsquared a) find f(x) (5 marks) b) verify that f(-2)=5 (1 mark) c) find an equation for the tangent to C at the point (-2,5) giving your answer in the form ax+by+c=0

### math

The curve C with equation y=fx passes through the point (3, 14/2) given that f'(x)=2x+3/xsquared a) find f(x) (5 marks) b) verify that f(-2)=5 (1 mark) c) find an equation for the tangent to C at the point (-2,5) giving your answer in the form ax+by+c=0

### Algebra II

what is an equation of a parabola with the given vertex and focus? Vertex: (-2,5); focus: (-2,6)

### Algebra2

What is an equation of a parabola with the given vertex and focus? vertex(-2,5) focus(-2,6)

### Trig (math)

1.) Find all solutions of the equation. Leave answers in trigonometric form. x^2 + 1 - sqrt3i = 0 2.) Give the rectangular coordinates for the point. (9, 2pi/3) 3.) The rectangular coordinates of a point are given. Express the point in polar coordinates with r L 0 and 0° K ...

### Math

I need help in finding the vertex of a parabola using an equation in this form: Ax^2 + Bx+C I have a test on this tomorrow. For example: 3x^2 +1x - 2 How would I find the vertex in this?

### Pre- Algebra

Given an equation of a line, how do I find equations for lines parallel to it going through specified points Simplifying the equations into slope-intercept form. 1. y= -2x -4; (1, 3) how do I write the equation of a line parallel to the given line but passing through the given...

### Pre - Cal

1. Find the vertex of the parabola: 4y^2+4y-16x=0 2. Find an equation of the parabola, opening down, with vertex (-3,1) and solution point (4,-5). 3. The main cables of a suspension bridge are 20 meters above the road at the towers and 4 meters above the road at the center. ...

### Pre-Calculus

Determine a quadratic function in vertex form given each set of characteristics. * minimum value of -24 and x-intercepts at -21 and -5 I have: (-21,0) and (-5,0) How would I find the x-coordinate of the vertex? (Thank you)

### Pre-cal

Find the vertex of y^2 + 4y + 2x +10 = 0. Use completing the square to put the equation into standard form as your first step. Could you show me how to get the vertex? Thanks

### Algebra

Identify the vertex and the axis of symmetry for the graph of y=5(x-2)^2 + 3. a) vertex (2,3); x = -2 b) vertex (-2,-3); x = 2 c) vertex (2,3); x = 2 d) vertex (-2,-3); x = -2 I have no idea how to solve this problem! Please help. Thank you! :)

### calc

let f be function given by f(x)= Ln(x)/x for all x> 0. the dervative of f is given by f'(x)= (1 - Ln(x))/x squared. a) write equation for the line tangent to the graph of f at x=e squared b) Find the x-coordinate of the critical point of f. Determine wheter this point is a ...

### Algebra

An engineer designs a satellite dish with a parabolic cross section. The dish is 14 ft wide at the opening, and the focus is placed 4 ft from the vertex. a) Position a coordinate system with the origin at the vertex and the x-axis on the parabola's axis of symmetry...

### Algebra

An engineer designs a satellite dish with a parabolic cross section. The dish is 10 ft wide at the opening, and the focus is placed 8 ft from the vertex. a) Position a coordinate system with the origin at the vertex and the x-axis on the parabola's axis of symmetry...

### Analytic Geometry

The line segment joining a vertex of a triangle and the midpoint of the opposite side is called the median of the triangle. Given a triangle whose vertices are A(4,-4), B(10, 4) and C(2, 6), find the point on each median that is two-thirds of the distance from the vertex to ...

### math

the straight L has gradient 3 and passes through the point A(-6,4). a) find an equation for L in the form y=mx+c b) straight line R has the equation in the form of -7y+x+14=0. Given that R crosses the y-axis at the point B and intersects L at the point C, find the coordinates ...

### PLease check math

1)FInd an equation of the line containting the given pair of points. (-8,0) and (0,5) MY ANSWEAR: (5/8)X+5 2)Find an equation of the line having the given slope and containing the given point. m=6 (8,1) MY ANSWEAR: 6X-47

### algebra

1)Find the exact solutions to 3x^2=5x-1 using the quadratic formula. answer=5 plus or minus the square root of 37 over 6 2)Use the discriminant to determine the number and type of roots for the equation 2x^2-7x+9=0 answer=2 complex 3)Identify the vertex,axis of symmetry,and ...

### math

find an equation of the line with the given slope that passes through the given point. write the equation in the form Ax+By=C M=3/2, (7,-3)

### check math

3) FInd an equation of the line containting the given pair of points. (3,4) and (9,6) MY ANSWEAR: 2/5X+9 4)Find an equation of the line having the given slope and containing the given point. m=2/3 (7,-7) MY ANSWEAR: 2/3X-14/3X

### MATHS ASAP!!!!!

At the x axis, y is zero. So if the x intercept is (1,0) then (y-a)^2=x + b (0-a)^2=1 + b Now the vertex. (y-a)^2=x +b (2-a)^2= 0 + b or these two equations are.. a^2= 1+b or b= a^2 - 1 putting this into the second equation. 4-4a + a^2=a^2-1 solve for a, then go back and solve...

### alebra

write the vertex form of a parabola that satisfies the conditions given. Then write the equation in the form y=a^+bx+c. vertex (-3,-4) and a=5.

### Math

The graph of a quadratic function has vertex(3,-4) and passes through the point (4,1). Find the equation of the function in standard form. Rewrite the equation in general form. Could someone explain to me how to do this, just don't understand.