Question

Andy completes the square for the function y = x^2 + 6x -8 Which of the following functions reveals the vertex of the parabola?

A. y = (x + 4)^2 - 18
B. y = (x + 3)^2 - 17
C. y = (x + 6)^2 - 17
D. y = (x + 2)^2 - 18

Answer 1

Answer:

B. y = (x + 3)^2 - 17

Step-by-step explanation:

When Andy completes the square, he adds and subtracts the square of half the x-coefficient. That is, he adds and subtracts (6/2)² = 9:

... y = x² +6x +9 -8 -9

... y = (x² +6x +9) -17

... y = (x +3)² -17 . . . . . . . . matches selection B

Answer 2

Answer: b

Step-by-step explanation: a p e x