Question

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 translation of function f
B. function h is a horizontal translation of function f
C. function h is a reflection and a dilation of function f
D. function h is a vertical translation of function f

Answer 1

c

Explanation:

Answer 2

• C. 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:

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