Graphing the Sine and Cosine Functions

Practice Questions

Pre-Calculus › Graphing the Sine and Cosine Functions

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1

What is the period of this sine graph?

Trig period 1

2

What is the period of this sine graph?

Trig period 1

3

Which equation would produce this sine graph?

Phase shift 2

4

Which equation would produce this sine graph?

Phase shift 2

5

Write the equation for a sine graph with a maximum at $\left(\frac{ \pi }{8}, 3\right)$ and a minimum at $\left(\frac{ 9 \pi }{8 } , -1 \right)$ .

6

Which of the given functions has the greatest amplitude?

7

Which of the given functions has the greatest amplitude?

8

Write the equation for a sine graph with a maximum at $\left(\frac{ \pi }{8}, 3\right)$ and a minimum at $\left(\frac{ 9 \pi }{8 } , -1 \right)$ .

9

Write the equation for a cosine graph with a maximum at $\left( \frac{ \pi }{3} , 3 \right)$ and a minimum at $\left(\frac{ 4 \pi }{3} , -3 \right)$ .

10

Write the equation for a cosine graph with a maximum at $\left( \frac{ \pi }{3} , 3 \right)$ and a minimum at $\left(\frac{ 4 \pi }{3} , -3 \right)$ .

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