Question

Can someome explain to me how to write f(x)= 8x^2 - 8x +2 in vertex form?

Answer 1

Vertex form is f (x) = a(x - h)2 + k, where (h, k) is the vertex of the parabola.

f(x) = 8x² - 8x + 2

f(x) = 8(x² - x) + 2

f(x) = 8(x² - x + 1/4) + 2 - 2

f(x) = 8(x - 1/2)²