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

What is the vertex form of the equation?

O A. y = (x-4) 2 + 13

O B. y = (x-4) 2 + 18

O c. y = (x+4) (x-4) + 13

O D. y = (x-4) 2 + 28

A

Step-by-step explanation:

Put brackets around the first two tems.

y = (x^2 - 8x) + 29

Take 1/2 coefficient of the linear term - 8. Square that result. Add it inside the brackets.

1/2 ( - 8) = - 4

( - 4) ^2 = 16

y = (x^2 - 8x + 16) + 29

Subtract 16 outside the brackets.

y = (x^2 - 8x + 16) + 29 - 16

Do the subtraction

y = (x^2 - 8x + 16) + 13

Represent what is inside the brackets as a square.

y = (x - 4) ^2 + 13

The answer is A