9
QuizMultiple Choice

Quadratics and Complex Numbers — Test

Question 9 • Algebra II

Which equation represents a graph with a vertex at open paren negative 3 comma 2 close paren ?

Answer
A
y is equal to 4 x squared plus 24 x plus 38
B
y is equal to 4 x squared minus 24 x plus 38
C
y is equal to 4 x squared plus 16 x plus 13

Explanation

For a quadratic y = ax² + bx + c, the vertex’s x-coordinate is −b/(2a). In choice A, x = −24/(2·4) = −3, and substituting −3 gives y = 4(9) + 24(−3) + 38 = 2. So choice A, y = 4x² + 24x + 38, has the vertex (−3, 2).

AI-written and checked against the verified answer.

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