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HPC WB2.5 - Trig Graph Practice

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Last updated over 5 years ago
17 questions
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Question 1
1.

Changing the period of a secant function changes its domain.

Question 2
2.

Changing the vertical displacement of a tangent function changes its range.

Question 3
3.

Changing the phase shift of a cosine function changes its domain.

Question 4
4.

Changing the vertical stretch of a cosecant function changes its domain.

Question 5
5.

Fill in the missing blanks. Some info has been filled out.

Function:

Vertical Stretch/Shrink:

Period:

Phase Shift:

Vertical Displacement:

Equation: y=2\sin\left( \frac{1}{2} \left( x - \frac{3\pi}{2}\right)\right) - 4

Question 6
6.

Fill in the missing blanks. Some info has been filled out.

Function: cosine

Vertical Stretch/Shrink: 2

Period: \frac{\pi}{3}

Phase Shift: none

Vertical Displacement: up 5

Equation:

Question 7
7.

Fill in the missing blanks. Some info has been filled out.

Function:

Vertical Stretch/Shrink:

Period:

Phase Shift:

Vertical Displacement:

Equation: y=15\tan\left(\frac{1}{4} \left( x- \frac{\pi}{2}\right)\right) - 10

Question 8
8.

Fill in the missing blanks. Some info has been filled out.

Function:

Vertical Stretch/Shrink:

Period:

Phase Shift:

Vertical Displacement:

Equation: y=3\csc\left( 4x\right)

Question 9
9.

Fill in the missing blanks. Some info has been filled out.

Function:

Vertical Stretch/Shrink:

Period:

Phase Shift:

Vertical Displacement:

Equation: y = 5\cot\left( x + \frac{7\pi}{6} \right) + 7

Question 10
10.

Fill in the missing blanks. Some info has been filled out.

Function: tangent

Vertical Stretch/Shrink: none

Period: 4\pi

Phase Shift: left \frac{\pi}{6}

Vertical Displacement: none

Equation:

Question 11
11.

Identify the features of the graph, then sketch the graph. y=\cos\left(2x\right)-2

Question 12
12.

Identify the features of the graph, then sketch the graph. y=2\sec\left(x\right)+2

Question 13
13.

Identify the features of the graph, then sketch the graph. y=\sin\left(x-\frac{\pi}{2}\right)+1

Question 14
14.

Identify the features of the graph, then sketch the graph. y=-\cot\left(2x\right)

Question 15
15.

Given the graph, find the following information:


Question 16
16.

Given the graph, find the following information:


Question 17
17.

Given the graph, find the following information: