Question

What's this equation in vertex form? Please help!

Answer 1

y=8(x^2 + 4x + 4) +17 + -32

Simplify:

y = 8(x^2 + 4x + 4) + 15

Use distributive property:

y = 8x^2 + 32x +32 - 15

Simplify:

y = 8x^2 + 32x +17

Complete the square using  form ax^2+bx+c:

a = 8, b = 32, c = 17

vertex form = a(x+d)^2+e

d = b/2a and e = c-b^2/4a

d = 32/2*8 = 32/16 = 2

e = 17 - 32^2/4*8 = 17-1024/32 = 17-32 = -15

Vertex form = y = 8(x+2)^2 + -15