Trig Transformation Graphs

Question 1

State the equation of the blue curve (the red curve is y=sinx)

Accepted Answer

y=sin(3x)

Question 2

Find the equation of the blue curve. (The red curve is y=cosx).

Accepted Answer

y=cos(2x)-1

Question 3

What is the equation of the blue curve?

Accepted Answer

y=2sin(x)

Question 4

What is/are the transformation(s) from y=cosx to the graph shown?

Accepted Answer

Vertical Shift Up 2, Negative Amplitude, Horizontal Shift π, Vertical Shift Up 2

Question 5

State the transformation from y=sinx to y=cosx.

Accepted Answer

Horizontal Shift Right 3π/2, Horizontal Shift Right π/2

Question 6

Which is the equation of the blue curve? (Hint: the red curve is y=sinx)

Accepted Answer

y=3sinx+2

Question 7

Pick the trig transformation from the red curve (y=sinx) to the blue curve.

Accepted Answer

Amplitude of 2

Question 8

State the transformation from the red curve to the blue curve.

Accepted Answer

Shorter Period

Question 9

What is the equation of this graph?

Accepted Answer

y=cot(x-π/2), y=-tan(x)

Question 10

What is the equation of this graph?

Accepted Answer

y=sin(x-π/2)+2, y=-cosx+2

Question 11

What is the best kind of dog?

Accepted Answer

Akita

Questions 11