Sarah creates the graph of function g by applying a transformation to function f.
f(x)=2^x
g(x)=1/2(2)^x
What transformation did Sarah apply?
a vertical stretch by a factor of 2
a vertical shift 1/2 unit up
a vertical compression by a factor of 1/2
a vertical shift 1/2 unit down

Respuesta :

The transformation on function f is (c) a vertical compression by a factor of 1/2

How to determine the transformation?

The functions are given as:

f(x) = 2^x

g(x) = 1/2(2^x)

The above means that:

g(x) = 1/2 * f(x)

The factor multiplied by f(x) to get g(x) is:

k = 1/2

The above factor is less than 1 but greater than 0.

This represents a vertical compression

Hence, the transformation on function f is (c) a vertical compression by a factor of 1/2

Read more about transformation at:

https://brainly.com/question/3457976

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