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Duplicate of Trig transformations

9 terms·StudBud Administration·263 plays

A quiz on transformations of trig functions. Suitable for C2 module. #trig #trigonometry #transformations #stretches #translations

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Questions 9

Answers

1
What is the equation of this graph?
y=sin(x+π/2)+2
y=sin(x-π/2)+2
y=-cosx+2
y=cosx+1
2
Find the equation of the blue curve. (The red curve is y=cosx).
y=-2cos(x)
y=sin(2x)-1
y=cos(0.5x)-1
y=cos(2x)-1
3
Which is the equation of the blue curve? (Hint: the red curve is y=sinx)
y=3sinx+2
y=2sinx+3
y=3sin(x+2)
y=5sinx
4
State the equation of the blue curve (the red curve is y=sinx)
y=sin(x)/3
y=sin(x/3)
y=sin(3x)
y=3sin(x)
5
What is the equation of the blue curve?
y=sin(2x)
y=cos(x)
y=sin(x)
y=2sin(x)
6
State the transformation from the red curve to the blue curve.
Stretch in y-direction, scale factor 3
Stretch in x-direction, scale factor 3
Stretch in x-direction, scale factor 1/3
Translation in x-direction π/3 units
7
What is/are the transformation(s) from y=cosx to the graph shown?
Stretch in x sf -1, then translation +1 in x
Stretch in y sf -1, then translation +2 in y
Stretch in x sf -1, then translation +1 in y
Translation +1 in y direction
8
Pick the trig transformation from the red curve (y=sinx) to the blue curve.
Translation in y-direction, 1 unit.
Stretch in y-direction, scale factor 0.5
Stretch in x-direction, scale factor 2
Stretch in y-direction, scale factor 2
9
State the transformation from y=sinx to y=cosx.
Translation, x-direction, π units
Translation, x-direction, π/2 units
Translation, x-direction, -π/2 units
Translation, x-direction, 3π/2 units