Question

What is the vertex form, f(x) = a(x - h)2-k, for a parabola that passes through the point (2,8) and has (1,0) as its

vertex. What is the standard form of the equation?

Answer 1

Explanation:

hello :

f(x) = a(x - h)²-k ....vertex form when the vertex is : (h,k)

h=1 and k=0 so : f(x) = a(x-1)²

a parabola that passes through the point (2,8) : f(2)=8

a(2-1)² =8

a= 8

f(x) = 8(x-1)²= 8(x²-2x+1)

f(x) 8x²-16x+8 .....standard form