24
QuizMultiple Choice

N/A — Exam

Question 24 • Algebra I

The minimum of the graph of a quadratic function is located at negative 1 comma 2 The point 2 comma 20 is also on the parabola. Which function represents the situation?

Answer
A
f of x is equal to open paren x minus 1 close paren squared plus 2
B
f of x is equal to open paren x plus 1 close paren squared plus 2
C
f of x is equal to 2 times open paren x plus 1 close paren squared plus 2
D
f of x is equal to 2 times open paren x minus 1 close paren squared plus 2

Explanation

A quadratic with minimum at (−1, 2) has vertex form f(x) = a(x + 1)² + 2. Substitute the point (2, 20): 20 = a(2 + 1)² + 2, so 18 = 9a and a = 2. Therefore, the function is f(x) = 2(x + 1)² + 2, which is choice A.

AI-written and checked against the verified answer.

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