2
QuizMultiple Choice

Solving Linear-Quadratic Systems

Question 2 • FL-1200330-Algebra 2 CR

Which represents the solution(s) of the system of equations, y + 4 = x2 and y – x = 2? Determine the solution set by graphing.

Answer
A
(–2, 0)
B
(–2, 0) and (2, 0)
C
(–2, 0) and (3, 5)
D
no solutions

Explanation

Rewrite the second equation as y = x + 2. Substitute this into y + 4 = x² to get x + 6 = x², or (x − 3)(x + 2) = 0, so x = 3 or x = −2. Using y = x + 2 gives the intersection points (3, 5) and (−2, 0), which matches choice C.

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