22
QuizMultiple Choice

Modeling with Quadratic Functions

Question 22 • RKAA- Second Semester Civics and Citizenship 0.5 New

The minimum of a parabola is located at (–1, –3). The point (0, 1) is also on the graph. Which equation can be solved to determine the a value in the function representing the parabola?

Answer
A
1 = a(0 + 1)2 – 3
B
1 = a(0 – 1)2 + 3
C
0 = a(1 + 1)2 – 3
D
0 = a(1 – 1)2 + 3

Explanation

A parabola with vertex (−1, −3) can be written in vertex form as y = a(x + 1)² − 3. Since the graph also passes through (0, 1), substitute x = 0 and y = 1 to get 1 = a(0 + 1)² − 3. This is choice A.

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