7
QuizMultiple Choice

Transformations of Quadratic Functions

Question 7 • Fall 24 GMS Advanced Algebra: Concepts and Connections A

Which phrase best describes the translation from the graph y = (x + 2)2 to the graph of y = x2 + 3?

Answer
A
2 units left and 3 units up
B
2 units left and 3 units down
C
2 units right and 3 units up
D
2 units right and 3 units down

Explanation

The graph of y = (x + 2)² has its vertex at (−2, 0), while y = x² + 3 has its vertex at (0, 3). Moving the vertex from (−2, 0) to (0, 3) shifts the graph 2 units right and 3 units up, so the correct choice is “2 units right and 3 units up.”

AI-written and checked against the verified answer.

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