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
