Question

Select the correct answer.Function h is a transformation of the parent exponential function, f(x) = 2³.h(x)=-3-2Which statement is true?OA.Function h is a horizontal translation of function f.O B.Function h is a reflection and a dilation of function f.O C.Function h is a reflection and a translation of function f.D.Function h is a vertical translation of function f.

Answer 1

Solution:

Given the parental exponential function

$f(x)=2^x$

Transformed to the function h(x) below

$h(x)=-3\cdot2^x$

The parental exponential function was reflected over the x axis and dilated by a factor of 3, i.e

$\begin{gathered} h(x)=3\cdot(-f(x)) \\ Where\text{ } \\ f(x)=2^x \\ h(x)=-3\cdot(2^x)=-3\cdot2^x \end{gathered}$

Hence, the answer is

Function h is a reflection and a dilation of function f (option