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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
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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

User Denger
by
8.8k points

2 Answers

4 votes

Answer:

y=(x-4)^2 + 13

Explanation:

User Ponkin
by
7.5k points
6 votes
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
User Smit
by
8.3k points
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