f (−4,1) is a point on the graph of f(x) identify which of the following ordered pairs must also be on the graph of y=f(x+2)+3?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 11T
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If (−4,1) is a point on the graph of f(x) identify which of the following
ordered pairs must also be on the graph of y=f(x+2)+3?

Expert Solution
Step 1

The graph of y = f(x+2) + 3 can be obtained from the graph of y = f(x) by translating the graph of y = f(x) two units to the left and 3 units upward.

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