8 Conceptual How does changing the parameters affect the graphs of trigonometric functions? Conceptual How can you transform trigonometric graphs?

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Q8 and q9 Needed to be solve Full explanation plz
1 Use technology to help you sketch the graph of each function for
0≤x≤ 2π.
a y=sinx
by=2 sinx cy=3 sin x
d
Find the amplitude of each graph.
How could you have found the amplitude by looking at the equation?
Could the amplitude be negative?
2 Sketch the graph of each function for 0≤x≤ 2.
a y=-sinx by=-2 sinx c y=-3 sinx
d Explain to a partner what you notice and explain the effect of the
negative sign.
3 Sketch the graph of each function for-27≤x≤27.
a
y sin (-x) by=2 sin (-x) c y=3 sin (-x)
d
Explain to a partner what you notice and explain the effect of the
negative sign.
4 Use technology to help you sketch the graph of each function for 0 ≤ x ≤ 2π.
a y=sin x
by=sin 2x
cy=sin 3x d y=0.5 sinx
The period of a trigonometric function is the length of one full cycle along the
x-axis, ie the angle measure after which the graph begins to repeat.
5 Explain to a partner what you notice.
6 Write an explanation of how the value of b in y=sin bx transforms the
graph of y=sin x
7 Factual What do the parameters represent in f(x) = a sin bx?
Conceptual How does changing the parameters affect the graphs of
trigonometric functions?
9 Conceptual How can you transform trigonometric graphs?
For the curves y = a sin bx and y=a cos bx:
lal is the amplitude, and the period is 2
b
y=-sin x or y=-cosx is a reflection in the x-axis.
y=sin(-x) or y= cos(-x) is a reflection in the y-axis.
Transcribed Image Text:1 Use technology to help you sketch the graph of each function for 0≤x≤ 2π. a y=sinx by=2 sinx cy=3 sin x d Find the amplitude of each graph. How could you have found the amplitude by looking at the equation? Could the amplitude be negative? 2 Sketch the graph of each function for 0≤x≤ 2. a y=-sinx by=-2 sinx c y=-3 sinx d Explain to a partner what you notice and explain the effect of the negative sign. 3 Sketch the graph of each function for-27≤x≤27. a y sin (-x) by=2 sin (-x) c y=3 sin (-x) d Explain to a partner what you notice and explain the effect of the negative sign. 4 Use technology to help you sketch the graph of each function for 0 ≤ x ≤ 2π. a y=sin x by=sin 2x cy=sin 3x d y=0.5 sinx The period of a trigonometric function is the length of one full cycle along the x-axis, ie the angle measure after which the graph begins to repeat. 5 Explain to a partner what you notice. 6 Write an explanation of how the value of b in y=sin bx transforms the graph of y=sin x 7 Factual What do the parameters represent in f(x) = a sin bx? Conceptual How does changing the parameters affect the graphs of trigonometric functions? 9 Conceptual How can you transform trigonometric graphs? For the curves y = a sin bx and y=a cos bx: lal is the amplitude, and the period is 2 b y=-sin x or y=-cosx is a reflection in the x-axis. y=sin(-x) or y= cos(-x) is a reflection in the y-axis.
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