Determine the x intercepts, y intercept, equation of the axis of symmetry and vertex for each of the following functions,
1.) f(x)= 3(x-2)^2-6 with zeros of 0.59 and 3.41
2.) g(x)= (x-4)(x+7)

1. ๐ 0
2. ๐ 0
3. ๐ 34
1. 1. f(x)= 3(x-2)^2-6 with zeros of 0.59 and 3.41

everything you asked for , except the y-intercept, can simply be stated directly from the equation:
axis of symmetry: x-2 = 0 or x = 2
vertex: (2,-6)

for the y-intercept, let x = 0
y = 3(-2)^2 - 6 = 6

g(x) = (x-4)(x+7)
x intercepts: x = 4 and x = -7
the vertex is half-way between 4 and -7
so the x of the vertex is (-7+4)/2 = -3/2
sub that in ...
y = (-3/2 - 4)(-3/2 + 7) = -121/4
vertex is (-3/2 , -121/4)
axis of symmetry : x = -3/2
yintercept: let x = 0
y = (-4)(7) = -28

1. ๐ 0
2. ๐ 0
posted by Reiny

## Similar Questions

1. ### Algebra,Math, graphs help

This is what the directions state to do: (A) Complete the table,(B)describe the resulting graphs by identifying the vertex point, (c) the graphโs direction, (d) and any axis intercepts gleaned from the table or graph. Problem #1

asked by jasort20 on April 11, 2007
2. ### MATH

47. The equation y = 4.5xยฒ + 9x + 15 describes the height of a diver, in metres, at x seconds. Change this equation into vertex form by completing the square. State the y-intercept, the equation of the axis of symmetry, and the

asked by pewdiepie on January 1, 2019
3. ### math, algebra,graphs help

THe directions state: (A)Complete the table, (B) describe the resulting graphs by identifying the vertex point, (C)the graphโs direction, (D) and any axis intercepts gleaned from the table or graph Problem #3 Equation : y = 2x^2

asked by jasort20 on April 11, 2007
4. ### math

Let y=3(x-4)^2 -3 a) Show that y=3x^2 -24x +45 b) For the graph of y find both x intercepts by solving the equation 3x^2 -24x +45 =0 A) direction of opening B) x intercepts C) y intercept D) Axis of Symmetry E) Vertex F) max or

asked by Jason on March 10, 2014
5. ### algebra

y=2x^2+5x-3 a)determine the x-intercepts b)determine the vertex c)determine the axis of symmetry d)determine the maximum or minimum value, stating whether it is a maximum or a minimum e)determine the range can i get the equations

asked by Shay on January 18, 2007
6. ### math

Using the equation y=(3x+2)(x+2) determine the x intercepts, the axis of symmetry and the vertex. I changed this equation into factored form because originally it was in standard form. Im having trouble with the x-intercepts. I

asked by James on September 1, 2012
7. ### Quadratic Equations and Functions

I started having trouble on part (c), and I need to know this before I can go onto the other problems. Plz help! The parabola shown at the right (no picture, sorry) is of the form y=x^2+bx+c. The graph's y-intercept is (0,2), the

asked by Emily on February 5, 2007
8. ### Quadratic Equations and Functions

I started having trouble on part (c), and I need to know this before I can go onto the other problems. Plz help! The parabola shown at the right (no picture, sorry) is of the form y=x^2+bx+c. The graph's y-intercept is (0,2), the

asked by Emily on February 5, 2007
9. ### 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?

asked by Emma on July 4, 2014
10. ### Math

For the graph y find both x-intercepts by solving the equation 3x^2 - 24x + 45 =0 a) Direction of opening b)y-intercepts c)Axis of symmetry d) vertex e) max or min

asked by Max on March 8, 2014

More Similar Questions