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