100 POINT QUESTION!!!!!!!!!!!!!!!!!!!!!!!

Find the solution(s) of the system of equations.
y = –x2 + 2
y = x2 + 4x + 4
Question 16 options:

A)

(1, 1)

B)

(–1, 1) and (1, 1)

C)

(–1, 1) and (0, 2)

D)

(–1, 1)

The solutions can be found by equating the expressions for y, then solving for x. The y-value(s) can then be found using the solutions for x.

y = y

-x² +2 = x² +4x +4

2x² +4x +2 = 0 . . . . . . . . . add x² -2

2(x +1)² = 0 . . . . . . . . . factor

x = -1 . . . . . . . . . . one solution that makes the factors zero

y = -x² +2 = -(-1)² +2 = -1 +2 = 1

The only solution is (x, y) = (-1, 1).

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100 POINT QUESTION!!!!!!!!!!!!!!!!!!!!!!! Find the solution(s) of the system of equations. y = –x2 + 2 y = x2 + 4x + 4 Question 16 options: A) (1, 1) B) (–1, 1) and (1, 1) C) (–1, 1) and (0, 2) D) (–1, 1)

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100 POINT QUESTION!!!!!!!!!!!!!!!!!!!!!!!

Find the solution(s) of the system of equations.
y = –x2 + 2
y = x2 + 4x + 4
Question 16 options:

A)

(1, 1)

B)

(–1, 1) and (1, 1)

C)

(–1, 1) and (0, 2)

D)

(–1, 1)