Question

Function h is a transformation of the parent exponential function, $(=) = 2*

h(t) = -3 2-
Which statement is true?
O A
Function h is a horizontal translation of function f.
OB.
Function h is a reflection and a translation of function f.
C.
Function h is a vertical translation of function f.
D.
Function his a reflection and a dilation of function f.

Answer 1

• D. function h is a reflection and a dilation of function

Explanation:

Parent function:

• f(x) =2^x

Transformed function:

• h(x) = -3•2^x

Transformation applied:

• f(x) → -f(x) = reflection over x-axis = vertical reflection
• f(x) → 3f(x) = dilation or vertical stretch

Correct answer choice is:

• D. function h is a reflection and a dilation of function f