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

Answer 1

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