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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

User Snappy
by
8.3k points

2 Answers

6 votes

Answer:

c

Explanation:

User Lalita
by
8.0k points
2 votes

Answer:

  • 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

Function h is a transformation of the parent exponential function, f(x) =2^x h(x) = -3•2^x-example-1
User EDi
by
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