Lesson Worksheet: Transformation of Trigonometric Functions Mathematics • 10th Grade

In this worksheet, we will practice translating or stretching the trigonometric function and finding the rule of a trigonometric function given the transformation.

Q1:

The figure shows the graph of 𝑓(π‘₯). A transformation maps 𝑓(π‘₯) to 2𝑓(π‘₯). Determine the coordinates of 𝐴 following this transformation.

  • A(180,βˆ’0.5)
  • B(90,βˆ’1)
  • C(180,βˆ’2)
  • D(360,βˆ’1)
  • E(360,βˆ’2)

Q2:

The figure shows the graph of 𝑓(π‘₯). A transformation maps 𝑓(π‘₯) to 𝑓(π‘₯)βˆ’2. Determine the coordinates of 𝐴 following this transformation.

  • A(180,βˆ’3)
  • B(180,1)
  • C(178,βˆ’3)
  • D(182,βˆ’1)
  • E(178,βˆ’1)

Q3:

Which of the following is the graph of 𝑦=(π‘₯βˆ’90)cos?

  • A
  • B
  • C
  • D
  • E

Q4:

The figure shows the graph of 𝑓(π‘₯). A transformation maps 𝑓(π‘₯) to 𝑓(2π‘₯). Determine the coordinates of 𝐴 following this transformation.

  • A(180,βˆ’0.5)
  • B(90,βˆ’1)
  • C(90,βˆ’0.5)
  • D(180,βˆ’2)
  • E(360,βˆ’1)

Q5:

The figure shows the graph of 𝑓(π‘₯). A transformation maps 𝑓(π‘₯) to 2𝑓(π‘₯). Determine the coordinates of 𝐴 following this transformation.

  • A(90, 2)
  • B(180, 1)
  • C(90, 0.5)
  • D(45, 0.5)
  • E(45, 1)

Q6:

The figure shows the graph of a function. Which of the following equations represents the graph?

  • A𝑦=2π‘₯sin
  • B𝑦=(π‘₯)+2sin
  • C𝑦=2π‘₯sin
  • D𝑦=(π‘₯)βˆ’2sin
  • E𝑦=(π‘₯βˆ’2)sin

Q7:

The figure shows the graph of a function. Which of the following equations represents the graph?

  • A𝑦=(2π‘₯)sin
  • B𝑦=(π‘₯βˆ’2)sin
  • C𝑦=(π‘₯)+2sin
  • D𝑦=2(π‘₯)sin
  • E𝑦=(π‘₯+2)sin

Q8:

Which of the following is the graph of 𝑦=(π‘₯)+1cos?

  • A
  • B
  • C
  • D
  • E

Q9:

The figure shows the graph of 𝑓(π‘₯). A transformation maps 𝑓(π‘₯) to 4𝑓(3π‘₯βˆ’45)+1. Determine the coordinates of 𝐴 following this transformation.

  • A(75,βˆ’3)
  • B(180,0)
  • C(75,βˆ’1)
  • D(105,βˆ’3)
  • E(75,βˆ’2)

Q10:

Which of the following is the graph of 𝑦=ο€»π‘₯4ο‡βˆ’1sin?

  • A
  • B
  • C
  • D
  • E

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