SOLUTION: Find the standard form f(x)=a(x-h)^2+k of the quadratic function that has a y-intercept of 8 and the x-intercepts of 8 and -8, if the vertex and the y-inetercept are the same point

Question 1087388: Find the standard form f(x)=a(x-h)^2+k of the quadratic function that has a y-intercept of 8 and the x-intercepts of 8 and -8, if the vertex and the y-inetercept are the same point.
f(x)=
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
The y-intercept is the point (0,8), which is also the vertex.
So f(x) = a(x-0)^2 + 8
We know the function passes through the two points (-8,0) and (8,0). Use one of these to find a.
0 = a*8^2 + 8 -> a = -1/8
Thus f(x) = (-1/8)x^2 + 8
RELATED QUESTIONS
Find the standard form f(x)=a(x-h)^2+k of the quadratic function that has a y-intercept... (answered by Fombitz)

Find the standard form f(x)=a(x-h)^2+k of the quadratic function that has a vertex at... (answered by MathLover1,MathTherapy)

Let f(x) = 2x^2 − 8x − 7. Write the quadratic in vertex form (that is y... (answered by josgarithmetic)

1. Let f(x) = 2x^2 − 8x − 7. Write the quadratic in vertex form (that is y... (answered by stanbon)

Find the standard form f(x)=a(x-h)^2+k of the quadratic function that has zeros of 1/5... (answered by josgarithmetic,MathTherapy)

1. Let f(x) = 2x^2 − 8x − 7. What is the quadratic in vertex form that is y (answered by josgarithmetic)

Let f(x) = 2x^2 − 8x − 7. What is the quadratic in vertex form that is y = (answered by stanbon)

Find the standard form f(x)=a(x-h)^2+k of the quadratic function zeros of 1/5 and 9/5,... (answered by josgarithmetic)

Vertex (h,k) of the quadratic function f(x)=a(x-h)^+k is (1,2) and the y-intercept is... (answered by stanbon)