What transformations are applied to the graph of the function f(x)=10^x to produce the function g(x)=3(10)^x-2 A.) a verti

Question

What transformations are applied to the graph of the function f(x)=10^x to produce the function g(x)=3(10)^x-2

A.) a vertical dilation by a factor of 3 and a horizontal shift to the right 2 units

B.) a vertical dilation by a factor of 1/3 and a horizontal shift to the right 2 units

C.) a vertical dilation by a factor of 1/3 and a vertical shift down 2 units

D.) a vertical dilation by a factor of 3 and a vertical shift down 2 units

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Bình An 4 years 2021-08-09T12:02:43+00:00 1 Answers 86 views 0

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  1. Helga
    0
    2021-08-09T12:03:52+00:00
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    Answer:

    • D) A vertical dilation by a factor of 3 and a vertical shift down 2 units

    Step-by-step explanation:

    Given

    • f(x)=10^x
    • g(x)=3(10)^x – 2

    We see that:

    • g(x) = 3f(x) – 2

    This is a vertical stretch by a factor of 3 and translation down 2 units

    Correct choice is D

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