37
QuizMultiple Choice

Cumulative Exam — Cumulative exam

Question 37 • TX-Pre-Calculus

Which statement best describes the effect on the graph of y = (x – 9)2 if the equation is changed to y = (x + 9)2?

Answer
A
The graph moves up 18 units.
B
The graph moves down 18 units.
C
The graph moves left 18 units.
D
The graph moves right 18 units.

Explanation

In vertex form, y = (x − h)² has its vertex at (h, 0). The first graph has vertex (9, 0), and y = (x + 9)² = (x − (−9))² has vertex (−9, 0). Moving from x = 9 to x = −9 is 18 units left, so the graph moves left 18 units.

AI-written and checked against the verified answer.

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