Quiz about Graphing Trig Test Review

Question 1

$$y=2\cos-3\left(x-\frac{\pi}{3}\right)+4$$

Find Standard Form.

Accepted Answer

$$y=2\cos3\left(x-\frac{\pi}{3}\right)+4$$

Answer

$$y=-2\cos3\left(x-\frac{\pi}{3}\right)+4$$

Answer

$$y=2\cos\left(-3x+\pi\right)+4$$

Answer

$$y=2\cos3\left(-x+\frac{\pi}{3}\right)+4$$

Question 2

$$y=2\cos-3\left(x-\frac{\pi}{3}\right)+4$$

Find Amplitude.

Accepted Answer

2

Answer

-2

Answer

3

Answer

-3

Question 3

$$y=2\cos-3\left(x-\frac{\pi}{3}\right)+4$$

Find Period.

Accepted Answer

$$\frac{2\pi}{3}$$

Answer

$$2\pi$$

Answer

$$\frac{\pi}{3}$$

Answer

3

Question 4

$$y=2\cos-3\left(x-\frac{\pi}{3}\right)+4$$

Find Jump.

Accepted Answer

$$\frac{\pi}{6}$$

Answer

$$\frac{\pi}{2}$$

Answer

$$\frac{\pi}{12}$$

Answer

$$\frac{\pi}{4}$$

Question 5

$$y=2\cos-3\left(x-\frac{\pi}{3}\right)+4$$

Find Phase Shift.

Accepted Answer

$$\frac{\pi}{3}$$

Answer

$$-\frac{\pi}{3}$$

Answer

$$4$$

Answer

$$-4$$

Question 6

$$y=2\cos-3\left(x-\frac{\pi}{3}\right)+4$$

Find Vertical Shift.

Accepted Answer

$$4$$

Answer

$$\frac{\pi}{3}$$

Answer

$$-\frac{\pi}{3}$$

Answer

$$-4$$

Question 7

$$y=2\cos-3\left(x-\frac{\pi}{3}\right)+4$$

Is there a reflection?

Accepted Answer

No

Answer

Yes

Question 8

$$y=-\frac{1}{3}\csc\left(-4x+\pi\right)$$

Find Standard Form.

Accepted Answer

$$y=\frac{1}{3}\csc4\left(x-\frac{\pi}{4}\right)$$

Answer

$$y=-\frac{1}{3}\csc-4\left(x-\frac{\pi}{4}\right)$$

Answer

$$y=\frac{1}{3}\csc\left(4x-\pi\right)$$

Answer

$$y=-\frac{1}{3}\csc-4\left(x-\frac{\pi}{4}\right)$$

Question 9

$$y=-\frac{1}{3}\csc\left(-4x+\pi\right)$$

Find Amplitude.

Accepted Answer

$$\frac{1}{3}$$

Answer

$$-\frac{1}{3}$$

Answer

$$4$$

Answer

$$-4$$

Question 10

$$y=-\frac{1}{3}\csc\left(-4x+\pi\right)$$

Find Period.

Accepted Answer

$$\frac{\pi}{2}$$

Answer

$$2\pi$$

Answer

$$\pi$$

Answer

$$\frac{\pi}{4}$$

Question 11

$$y=-\frac{1}{3}\csc\left(-4x+\pi\right)$$

Find Jump.

Accepted Answer

$$\frac{\pi}{8}$$

Answer

$$\frac{\pi}{16}$$

Answer

$$\frac{\pi}{2}$$

Answer

$$\frac{\pi}{4}$$

Question 12

$$y=-\frac{1}{3}\csc\left(-4x+\pi\right)$$

Find Phase Shift.

Accepted Answer

$$\frac{\pi}{4}$$

Answer

$$0$$

Answer

$$\pi$$

Answer

$$-\pi$$

Question 13

$$y=-\frac{1}{3}\csc\left(-4x+\pi\right)$$

Find Vertical Shift.

Accepted Answer

$$0$$

Answer

$$\pi$$

Answer

$$-\pi$$

Answer

$$\frac{\pi}{4}$$

Question 14

$$y=-\frac{1}{3}\csc\left(-4x+\pi\right)$$

Is there a reflection?

Accepted Answer

No

Answer

Yes

Question 15

$$y=-5\cot\left(3x-2\pi\right)$$

Find Standard Form.

Accepted Answer

$$y=-5\cot3\left(x-\frac{2\pi}{3}\right)$$

Answer

$$y=-5\cot\left(3x-2\pi\right)$$

Answer

$$y=-5\cot3\left(x+\frac{2\pi}{3}\right)$$

Answer

$$y=5\cot\left(3x-2\pi\right)$$

Question 16

$$y=-5\cot\left(3x-2\pi\right)$$

Find Amplitude.

Accepted Answer

$$5$$

Answer

$$-5$$

Answer

$$-3$$

Answer

$$3$$

Question 17

$$y=-5\cot\left(3x-2\pi\right)$$

Find Period.

Accepted Answer

$$\frac{\pi}{3}$$

Answer

$$2\pi$$

Answer

$$\pi$$

Answer

$$\frac{2\pi}{3}$$

Question 18

$$y=-5\cot\left(3x-2\pi\right)$$

Find Jump.

Accepted Answer

$$\frac{\pi}{12}$$

Answer

$$\frac{\pi}{2}$$

Answer

$$\frac{\pi}{6}$$

Answer

$$\frac{\pi}{3}$$

Question 19

$$y=-5\cot\left(3x-2\pi\right)$$

Find Phase Shift.

Accepted Answer

$$\frac{2\pi}{3}$$

Answer

$$-\frac{2\pi}{3}$$

Answer

$$0$$

Answer

$$2\pi$$

Question 20

$$y=-5\cot\left(3x-2\pi\right)$$

Find Vertical Shift.

Accepted Answer

$$0$$

Answer

$$\frac{2\pi}{3}$$

Answer

$$-\frac{2\pi}{3}$$

Answer

$$2\pi$$

Question 21

$$y=-5\cot\left(3x-2\pi\right)$$

Is there a reflection?

Accepted Answer

Yes

Answer

No

Question 22

$$y=\sec\left(-\frac{1}{2}x-\frac{\pi}{4}\right)-3$$

Find Standard Form.

Accepted Answer

$$y=\sec\frac{1}{2}\left(x+\frac{\pi}{2}\right)-3$$

Answer

$$y=\sec\left(\frac{1}{2}x+\frac{\pi}{4}\right)-3$$

Answer

$$y=\sec\left(-\frac{1}{2}x-\frac{\pi}{4}\right)-3$$

Answer

$$y=-\sec\frac{1}{2}\left(x+\frac{\pi}{2}\right)-3$$

Question 23

$$y=\sec\left(-\frac{1}{2}x-\frac{\pi}{4}\right)-3$$

Find Amplitude.

Accepted Answer

$$1$$

Answer

$$-3$$

Answer

$$-1$$

Answer

$$\frac{1}{2}$$

Question 24

$$y=\sec\left(-\frac{1}{2}x-\frac{\pi}{4}\right)-3$$

Find Period.

Accepted Answer

$$4\pi$$

Answer

$$2\pi$$

Answer

$$\pi$$

Answer

$$\frac{\pi}{2}$$

Question 25

$$y=\sec\left(-\frac{1}{2}x-\frac{\pi}{4}\right)-3$$

Find Jump.

Accepted Answer

$$\pi$$

Answer

$$4\pi$$

Answer

$$2\pi$$

Answer

$$\frac{\pi}{2}$$

Question 26

$$y=\sec\left(-\frac{1}{2}x-\frac{\pi}{4}\right)-3$$

Find Phase Shift.

Accepted Answer

$$-\frac{\pi}{2}$$

Answer

$$\frac{\pi}{2}$$

Answer

$$-\frac{\pi}{4}$$

Answer

$$\frac{\pi}{4}$$

Question 27

$$y=\sec\left(-\frac{1}{2}x-\frac{\pi}{4}\right)-3$$

Find Vertical Shift.

Accepted Answer

$$-3$$

Answer

$$0$$

Answer

$$3$$

Answer

$$-\frac{1}{2}$$

Question 28

$$y=\sec\left(-\frac{1}{2}x-\frac{\pi}{4}\right)-3$$

Is there a reflection?

Accepted Answer

No

Answer

Yes

Question 29

$$y=\frac{2}{5} an-2x+3$$

Find Standard Form.

Accepted Answer

$$y=-\frac{2}{5} an2x+3$$

Answer

$$y=\frac{2}{5} an-2x+3$$

Answer

$$y=\frac{2}{5} an2x+3$$

Answer

$$y=-\frac{2}{5} an-2x+3$$

Question 30

$$y=\frac{2}{5} an-2x+3$$

Find Amplitude.

Accepted Answer

$$\frac{2}{5}$$

Answer

$$-2$$

Answer

$$-\frac{2}{5}$$

Answer

$$2$$

Question 31

$$y=\frac{2}{5} an-2x+3$$

Find Period.

Accepted Answer

$$\frac{\pi}{2}$$

Answer

$$\pi$$

Answer

$$\frac{\pi}{4}$$

Answer

$$\frac{\pi}{8}$$

Question 32

$$y=\frac{2}{5} an-2x+3$$

Find Jump.

Accepted Answer

$$\frac{\pi}{8}$$

Answer

$$\pi$$

Answer

$$\frac{\pi}{2}$$

Answer

$$\frac{\pi}{4}$$

Question 33

$$y=\frac{2}{5} an-2x+3$$

Find Phase Shift.

Accepted Answer

$$0$$

Answer

$$-3$$

Answer

$$\frac{2}{5}$$

Answer

$$3$$

Question 34

$$y=\frac{2}{5} an-2x+3$$

Find Vertical Shift.

Accepted Answer

$$3$$

Answer

$$-3$$

Answer

$$0$$

Answer

$$\frac{2}{5}$$

Question 35

$$y=\frac{2}{5} an-2x+3$$

Is there a reflection?

Accepted Answer

Yes

Answer

No

Question 36

$$y=-\sin2\left(x+\frac{\pi}{4}\right)-1$$

Find Amplitude.

Accepted Answer

$$1$$

Answer

$$-1$$

Answer

$$2$$

Answer

$$\frac{\pi}{4}$$

Question 37

$$y=-\sin2\left(x+\frac{\pi}{4}\right)-1$$

Find Period.

Accepted Answer

$$\pi$$

Answer

$$\frac{\pi}{4}$$

Answer

$$\frac{\pi}{2}$$

Answer

$$2\pi$$

Question 38

$$y=-\sin2\left(x+\frac{\pi}{4}\right)-1$$

Find Jump.

Accepted Answer

$$\frac{\pi}{4}$$

Answer

$$\frac{\pi}{2}$$

Answer

$$\pi$$

Answer

$$2\pi$$

Question 39

$$y=-\sin2\left(x+\frac{\pi}{4}\right)-1$$

Find Phase Shift.

Accepted Answer

$$-\frac{\pi}{4}$$

Answer

$$-\frac{\pi}{2}$$

Answer

$$\frac{\pi}{2}$$

Answer

$$\frac{\pi}{4}$$

Question 40

$$y=-\sin2\left(x+\frac{\pi}{4}\right)-1$$

Find Vertical Shift.

Accepted Answer

$$-1$$

Answer

$$2$$

Answer

$$1$$

Answer

$$\frac{\pi}{4}$$

Question 41

$$y=-\sin2\left(x+\frac{\pi}{4}\right)-1$$

Is there a reflection?

Accepted Answer

Yes

Answer

No

Question 42

$$y=\sec\left(x-\frac{\pi}{4}\right)+2$$

Find Amplitude.

Accepted Answer

$$1$$

Answer

$$-1$$

Answer

$$2$$

Answer

$$\frac{\pi}{4}$$

Question 43

$$y=\sec\left(x-\frac{\pi}{4}\right)+2$$

Find Period.

Accepted Answer

$$2\pi$$

Answer

$$\pi$$

Answer

$$\frac{\pi}{2}$$

Answer

$$\frac{\pi}{4}$$

Question 44

$$y=\sec\left(x-\frac{\pi}{4}\right)+2$$

Find Jump.

Accepted Answer

$$\frac{\pi}{2}$$

Answer

$$2\pi$$

Answer

$$\pi$$

Answer

$$\frac{\pi}{4}$$

Question 45

$$y=\sec\left(x-\frac{\pi}{4}\right)+2$$

Find Phase Shift.

Accepted Answer

$$\frac{\pi}{4}$$

Answer

$$-2$$

Answer

$$2$$

Answer

$$-\frac{\pi}{4}$$

Question 46

$$y=\sec\left(x-\frac{\pi}{4}\right)+2$$

Find Vertical Shift.

Accepted Answer

$$2$$

Answer

$$-2$$

Answer

$$-\frac{\pi}{4}$$

Answer

$$\frac{\pi}{4}$$

Question 47

$$y=\sec\left(x-\frac{\pi}{4}\right)+2$$

Is there a reflection?

Accepted Answer

No

Answer

Yes

Question 48

$$y=2\cot2\left(x+\frac{\pi}{8}\right)$$

Find Amplitude.

Accepted Answer

$$2$$

Answer

$$-2$$

Answer

$$\frac{\pi}{8}$$

Answer

$$1$$

Question 49

$$y=2\cot2\left(x+\frac{\pi}{8}\right)$$

Find Period.

Accepted Answer

$$\frac{\pi}{2}$$

Answer

$$\pi$$

Answer

$$\frac{\pi}{4}$$

Answer

$$\frac{\pi}{8}$$

Question 50

$$y=2\cot2\left(x+\frac{\pi}{8}\right)$$

Find Jump.

Accepted Answer

$$\frac{\pi}{8}$$

Answer

$$\pi$$

Answer

$$\frac{\pi}{2}$$

Answer

$$\frac{\pi}{4}$$

Question 51

$$y=2\cot2\left(x+\frac{\pi}{8}\right)$$

Find Phase Shift.

Accepted Answer

$$-\frac{\pi}{8}$$

Answer

$$0$$

Answer

$$2$$

Answer

$$\frac{\pi}{8}$$

Question 52

$$y=2\cot2\left(x+\frac{\pi}{8}\right)$$

Find Vertical Shift.

Accepted Answer

$$0$$

Answer

$$2$$

Answer

$$-\frac{\pi}{8}$$

Answer

$$\frac{\pi}{8}$$

Question 53

$$y=2\cot2\left(x+\frac{\pi}{8}\right)$$

Is there a reflection?

Accepted Answer

No

Answer

Yes

Graphing Trig Test Review

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