Q:

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

Accepted Solution

A:
Answer:The answer to your question is: (1/2, 5)Step-by-step explanation:Parabola                     f(x) = 8x² - 8x + 7                                      y = 8x² - 8x + 7Vertical 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 squares8 (x² - x + (1/2)²) = y - 7 + 2    Simplification8 (x² - x + 1/4) = y - 5                                  (x - 1/2)² = 1/8 (y - 5)Finally Vertex                         (1/2 , 5)