Question

The standard form of the equation of a parabola is y = x2 - 8x + 29. What is the vertex form of the equation?

A.y = (x + 4)(x - 4) + 13
B.y = (x - 4)2 + 28
C.y = (x - 4)2 + 13
D.y = (x - 4)2 + 18

Answer 1

y=(x-4)^2 + 13

Explanation:

Answer 2

y = x² - 8x + 29
y = (x² -8x +4²) + 29 -4² . . . . add and subtract the square of half the x-coefficient
y = (x -4)² + 13 . . . . . . . . . . . . simplify

The appropriate choice is
C. y = (x - 4)² + 13