Your friend attempted to describe the transformations applied to the graph of y=sinx to give the equation f(x)=1/2sin(-1/3(x+30))+1.

CMIIh

CMIIh

Answered question

2021-02-11

Your friend attempted to describe the transformations applied to the graph of y=sinx to give the equation f(x)=12sin(13(x+30))+1.
They think the following transformations have been applied. Which transformations have been identified correctly, and which have not? Justify your answer.
a) f(x) has been reflected vertically.
b) f(x) has been stretched vertically by a factor of 2.
c) f(x) has been stretched horizontally by a factor of 3.
d) f(x) has a phase shift left 30 degrees.
e) f(x) has been translated up 1 unit.

Answer & Explanation

Bentley Leach

Bentley Leach

Skilled2021-02-12Added 109 answers

Given
Your friend attempted to describe the transformations applied to graph of
f(x)=12sin(13(x+30))+1
a)f(x) has been reflected vertically
No, the f(x) has been reflected horizontally.
b)f(x) has been stretched vertically by a factor of 2.
No, the f(x) has been compressed by a factor of 12.
c)f(x) has been stretched horizontally by a factor of 3.
No, the f(x) has been stretched horizontally by a factor of 13
d)f(x) has a phase shift left 30 degrees
Yes, f(x) has a shift left 30 degrees
e)f(x) has been translated up 1 unit
Yes, f(x) has been translated up 1 unit

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