How to Find the vertex of f (x) = -8x^2-8x+7

The answer to your question is: (1/2, 5)

Step-by-step explanation:

Parabola f (x) = 8x² - 8x + 7

y = 8x² - 8x + 7

Vertical Parabola equation

(x - h) ² = 4p (y - k) Transform the original equation to this form

8x² - 8x = y - 7

8 (x² - x + () ²) = y - 7 Complete squares

8 (x² - x + (1/2) ²) = y - 7 + 2 Simplification

8 (x² - x + 1/4) = y - 5

(x - 1/2) ² = 1/8 (y - 5)

Finally Vertex

(1/2, 5)