# parabolas

69 results

math
weloo Consider the two parabolas :y1=2x^2-3x-1 and y2=x^2+7x+20. (a) Find the points of intersection of the parabolas and decide which one is greater than the other between the intersection points. (b) Compute the area enclosed by the two parabolas. (c) Use Mathcad to draw the...

math
hilp meeee trying .... Consider the two parabolas :y1=2x^2-3x-1 and y2=x^2+7x+20. (a) Find the points of intersection of the parabolas and decide which one is greater than the other between the intersection points. (b) Compute the area enclosed by the two parabolas. (c) Use ...

math
hilp meeee trying .... Consider the two parabolas :y1=2x^2-3x-1 and y2=x^2+7x+20. (a) Find the points of intersection of the parabolas and decide which one is greater than the other between the intersection points. (b) Compute the area enclosed by the two parabolas. (c) ...

math
Question-2; Consider the function f(x)= -cos3x -4sin3x. (a)Find the equation of the line normal to the graph of f(x) when x= pie/6 . (b)Find the x coordinates of the points on the graph of f(x) where the tangent to the graph is horizontal. (c)Find the absolute extrema of the ...

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 ...

Math
Find the points of intersection of the parabolas y=1/2x^2 and y=1-1/2x^2. Show that at each of these points the tangent lines to the two parabolas are similar Answer (+-1,1/2) Please show and explain all steps thank yo

Parabolas in standard form!
Hello, I am having the worst time trying to solve these parabolas and putting them into x-h = a(y-k)^2 form. :( There are two problems that i keep doing something wrong. could someone solve them so I can have a set up for the rest of my problems? :) 3y^2+6y+108x-969=0 and x^2+...

Math
1. What is the vertex of each of these parabolas? a. y = (x –7)2 +4 b. y = 3(x + 7)2 – 4

parabolas
If a=​4, then the coordinates of the focus are?

algebra 2
what is a parabolas, circles, ellipse, or hyperbolas

Calculus
Find the area of the region enclosed by the parabolas y=x^2 and y+2x-x^2

Algebra 2
Find the x and y intercepts for the following parabolas. y=(x+12)^2-144 y=(x-8)^2-4

Algebra 2
Find the x and y intercepts for the following parabolas. y=(x+12)^2-144 y=(x-8)^-4

calculus
find the points of intersection of the parabolas Y=(1r2 x^2) and Y=10x - 2.

calculus
find the points of intersection of the parabolas Y=(1r2 x^2) and Y=10x - 2.

parabolas
Find the equation and sketch the parabola that has vertex V (-1; 0) and focus F(-4; 0).

Calculus Help!!!
Find c > 0 such that the area of the region enclosed by the parabolas y=x^2-c^2 and y=c^2-x^2 is 13.

Pre-Calculus
Parabolas; find Vertex, focus, directrix? 1) (y+1)^2 = -4(x-2)

math
there are ___ parabolas that have a vertex (-3,-4) and pass through the point (-1,4)

Math
Give three examples of the equations of parabolas that have (-2,0) and (6,0) as x-intercepts.

MATH HELP
write the equations of two different parabolas whose vertices are at (3,2).

Math
How would I simplify these two equations I have made up from looking at parabolas: y=-15/20.25(x+1.5)^2+0 y=a(x+2)^2+1.5

Precal

Pre-Calculus
I'm currently working with parabolas, and I'm not sure if I am doing this specific problem correctly.. 12. x= y^2-6y+6 y= -b/2a = 6/2(1)= 6/2= 3 x= (3)^2+6(3)+6 x= 33 y=3 (33,3) <--- what I graphed

Math
If f(x)=x^2-6x+14 and g(x)=-x^2-20x-k, determine the value of k so that there is exactly one point of intersection between the two parabolas.

Math
If f(x)=x^2-6x+14 and g(x)=-x^2-20x-k, determine the value of k so that there is exactly one point of intersection between the two parabolas.

Algebra 2
Find the vertex of each of the following parabolas by averaging the x intercept. Then write each equation in graphing form. Y=(x-3)(x-11)

algebra
what is the standard equation of the following parabolas?! 1. passes through (-5,1) 2. Direction 2x-9=0 3.E(4,2) as end of LR 4. Focus at (3,0) 5. LR=10 pls answer

Algebra 2
Find the vertex of each of the following parabolas by averaging the x intercepts. Then write each equation in graphing form. Y=x^2-14x+40

Calculus Help
Let c and dd be positive real numbers. Show that regardless of c,d, the parabolas r=c/(1+cos(theta)) and r=d/{(1-costheta) intersect at rights angles

algebra (parabolas)
find the axis of symmetry and vertex of the function. tell whether it goes upward or downward. y=3*xsquared+6x-2

Algebra 2
Parabolas - you are my last resort: Find a quadratic function in standard form for each set of points. (0, –4), (1, 0), (2, 2) Can't print answer choices

Calculus - Integrals
Find the volume of the solid of revolution obtained by revolving region bounded by the parabolas 2y=x^2 and y^2=4x about the x-axis

algebra (parabolas)
find the axis of symmetry and vertex of the function. tell whether it goes upward or downward. 1. y=-xsquared+9 2. y=-2xsquared=7x-21

Math/Algebra
Does anyone know how to graph quadratic functions (with parabolas). Could someone please help me!!Could you help me with these two problems don't forget to make a chart for x, the equation, the y, and the coordinates. 1. Y=2x^2 2. Y=-5x^2

analytic geometry
for all parabolas, show that the angle between the line segment joining endpoints of the latus rectum to the vertex is 2 arctan 2

Calc 2
Find c>0 such that the area of the region enclosed by the parabolas y=x^2−c^2 and y=c^2−x^2 is 90.

Calculus 2
Find c>0 such that the area of the region enclosed by the parabolas y=x^2−c^2 and y=c^2−x^2 is 90.

Calculus
A rectangle is insribed between the parabolas y=4(x^2) and y=30-x^2. What is the maximum area of the rectangle? Domain: [-3,3] Range:[-2, 40] THANK YOU!

Cal 2
Find c>0 such that the area of the region enclosed by the parabolas y=x2−c2 and y=c2−x2 is 230.

AP Calculus
A rectangle is inscribed between the parabolas y=4x^2 and y=30-x^2. what is the maximum area of such a rectangle? a)20root2 b)40 c)30root2 d)50 e)40root2

Algebra
Graph parabolas how would i do this y=x^2 + 1 (-3 < or equal to X < or equal to 3)

Calculus kinda with the area of two curves
II don't even know where to start with this can anyone help?!? Find c>0 such that the area of the region enclosed by the parabolas y=x^2-c^2 and y=c^2-x^2 is 270.

Calculus
Find the area of the largest rectangle with sides parallel to the coordinate axes which can be inscribed in the area bounded by the two parabolas y=26-x^2 and y=x^2+2

Calculus Help
Find the values of c such that the area of the region bounded by the parabolas y = 4x^2 − c^2 and y = c^2 − 4x^2 is 256/3. (Enter your answers as a comma-separated list.)

Trig
A parabola has its vertex on the graph of the line y=3x+1 and passes through (1,10). If it is the same size,? shape, and direction as the graph of y=3x^2, find the equation (s) of all possible parabolas Thanks!!!

Pre calc
A parabola has its vertex on the graph of the line y=3x+1 and passes through (1,10). If it is the same size,? shape, and direction as the graph of y=3x^2, find the equation (s) of all possible parabolas

math
region bounded by the parabolas y=x^2 and y=6x-(x^2) is rotated about the x-axis so that a vertical line segment cut off by the curves generates a ring. find the value of x for which we obtain the ring of largest area

algebra (parabolas)
tell whether the graph opens upward or downward. then find the axis of symmetry and vertex of the graph of the function 1. y=xsquared-5 2. y=-2*xsquared+6x+7

parabolas
how do i find the equaion of the following parabolas? 1)intercepts at (2,0),(8,0) and (0,48) 2)turning point at (1,-2) and passing through the origin. can someone please teach me how to do this??thanks! The first: Write you standard equation of a parabola (it has two x ...

Algebra
All parabolas are symmetric with respect to a line called the axis of symmetry. A parabola intersects its axis of symmetry at what point? a. vertex b. function c. translation d. y-intercept Is it A. vertex?

Vertex, Focus, & Directrix of Parabolas
Find the Vertex, Focus, and Directrix of the parabola: x^2 -12x-48y+276=0 Thank you so much <3

College algebra
A fountain in a shopping mall has two parabolic arcs of water intersecting. The equation of one parabola is y = -0.25x^2+2x and the equation of the second parabola is y=-0.205x^2+4x-11.75. How high above the base of the fountain do the parabolas intersect? All dimensions are ...

calculus
a solid lies between planes perpendicular to x-axis at x=0 and x=17,cross section perpendicular to axis interval 17 greater or equal x & x greater or equal 0 are squares of diagonals go from parabolas y=-2x^(0.5) & y=2x^(0.5). find the volume of the solid

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.

Integrated Math 1
The parabolas y = -3x2 + 10x - 6 and y = -3x2 - 17x + 2 intersect at _____? A.the line y = 27x - 8. B. x=the square root of 2 over 3 and xthe -square root of 2 over 3. C. x=8/27. D. they do not intersect.

Functions
State the domain and range of each function. Justify your answer a) y=1/(x+5) b) y=√1-2x I know how to do domain and range, but I don't remember what shapes these form. It's not parabolas, is it? Then, to justify them, I need to draw them, so that's why I need to know ...

Math
My math teacher said to use the FOIL (First Outer Inner Last) property to simplify these quadratic equations I have made from looking at two parabolas. Here are my equations & how would you use the FOIL property on each of the equations and also can someone help me with ...

Math
i am working with completing the square in parabolas and there's this word problem i just cannot solve..a farmer wants to make a rectangular corral along the side of a large barn and has enough materials for 60m of fencing. Only 3 sides must be fenced, since the barn wall will...

math
A jumping spider jumps from a log onto the ground below. Its height, h, in centimetres, as a function of time, t, in seconds, since it jumped can be modelled by the function h(t) = -490t^2 + 75t + 12.When does the spider land on the ground? ___ seconds (answer to 1 decimal ...

Algebra: Parabolas
I have a math problem that requires me to find the focal length of a parabola using the information given on a graph. It is a standard horizontal parabola, the formula being y^2 = ax. The focus point is formula a = 4p. I know that a is positive, because the parabola opens ...

Calculus
A function f(x) is said to have a removable discontinuity at x=a if: 1. f is either not defined or not continuous at x=a. 2. f(a) could either be defined or redefined so that the new function IS continuous at x=a...

math
I'm having some troubles with these. Thanks in advance. If a>0 find the minimum value. If a<0 find the maximum value. 1. y=-x²+2x+5 2. y=-2x²-3x+4 These are functions for parabolas, so f(x)=ax²+bx+c when a does not equal 0 In both your examples, the "a", which is the ...

Calculus
A function f(x) is said to have a removable discontinuity at x=a if: 1. f is either not defined or not continuous at x=a. 2. f(a) could either be defined or redefined so that the new function IS continuous at x=a...

algebra (parabolas)
you throw a wad of used paper towards a wastebasket from a height of about 1.3 feet above the floor with an initial vertical velocity of 3 feet per second. a. write and graph a function that models the height h (in feet) of the paper t seconds after it is thrown b. if you miss...

need an answer checked - algebra
Given a quadratic equation y = ax^2 + bx + c, (i) What is the effect of changing the value of the number c on the parabola? In other word, if two parabolas have the same coefficients a, and b, but different values for c, how will their graphs differ? My answer: If you have ...

need an answer checked - algebra
Given a quadratic equation y = ax^2 + bx + c, (i) What is the effect of changing the value of the number c on the parabola? In other word, if two parabolas have the same coefficients a, and b, but different values for c, how will their graphs differ? My answer: If you have ...

math
How do I know that x^2-7=y is a function? thanks you know its a function because its a parabola (x^2) parabolas are functions because there is only one x value per y value. So I know it is a function because it has (x^2)? Is that the rule? If it has x^2, it's a function and if...

Physics
I have posted this one before, but the help I received went over my head... Firemen are shooting a stream of water at a burning building. A high-pressure hose shoots out the water with a speed of 21.0 m/s as it leaves the hose nozzle. Once it leaves the hose, the water moves ...

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