Question

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

Answer 1

Answer:

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)