16Hit1600
Advanced MathVery hardReading a translated graph

Advanced Math practice question

The graph of y = f(x) in the xy-plane passes through the point (3, 8). The graph of y = g(x) is the graph of f shifted 2 units to the right and 5 units down. What is the value of g(5)?

Answer: 3

Shifting right 2 sends (3, 8) to (5, 8); shifting down 5 sends it to (5, 3). So g(5) = 3.

Common wrong answers

If you answered 8
8 applies the horizontal shift only.
If you answered 13
13 shifts up instead of down.
If you answered -3
−3 subtracts the wrong way (5 − 8); the new y-value is 8 − 5 = 3.

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