130799
AssignmentMultiple Choice

Graphing Exponential Functions

Question 130799 • PBCSD_Grade_Forgiveness_1200330_Algebra 2_S2_2024

Which situation best describes the transformation between f(x) = 10x and g(x) = –2 · 10x?The graph of g(x) = –2 · 10x is transcribed 2 units to the right.The graph of g(x) = –2 · 10x is transcribed 2 units to the left.The graph of g(x) = –2 · 10x is compressed vertically and reflected across the x-axis.The graph of g(x) = –2 · 10x is stretched vertically and reflected across the x-axis.

Answer
A
The graph of g(x) = –2 · 10x is transcribed 2 units to the right.
B
The graph of g(x) = –2 · 10x is transcribed 2 units to the left.
C
The graph of g(x) = –2 · 10x is compressed vertically and reflected across the x-axis.
D
The graph of g(x) = –2 · 10x is stretched vertically and reflected across the x-axis.

Explanation

Since g(x) = −2 · 10ˣ = −2f(x), every output of f is multiplied by −2. The factor of 2 stretches the graph vertically, and the negative sign reflects it across the x-axis. Therefore, the correct choice is “stretched vertically and reflected across the x-axis.”

AI-written and checked against the verified answer.

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