Question

Select the correct answer. Function h is a transformation of the parent exponential function, f(x)=2^x. h(x)=-3*2^x. Which statement is true? A. Function h is a reflection and a dilation of function f. B. Function h is a vertical translation of function f. C. Function h is a reflection and a translation of function f. D. Function h is a horizontal translation of function f.

Answer 1

The statement which is true regarding f(x)=$2^{x}$ and h(x)=-3*$2^{x}$ is that function h is a reflection and a translation of function f.

Given two functions f(x)=$2^{x}$ and h(x)=-3*$2^{x}$.

We are required to find the statement which is true regarding the functions

f(x)=$2^{x}$ and h(x)=-3*$2^{x}$.

Function is relationship between two or more variables that are expressed in equal to form. The values that we enter in the function are known as domain and the values that we get from the function are part of codomain.

The statement which is true about the function f(x) and h(x) is the statement given in third option which is that function h is a reflection and a translation of function f.

Hence the statement which is true regarding f(x)=$2^{x}$ and h(x)=-3*$2^{x}$ is that function h is a reflection and a translation of function f.

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