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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.

Respuesta :

mhanifa

Answer:

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

Step-by-step 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

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