Free Printable Unit 7 - Quiz 1

1.

Where does the graph of y=sin(x) "begin" its first cycle?

a)

(0,0)

b)

(1,0)

c)

(0,Pi)

d)

(1, Pi)

2.

Where does the graph of cosine "begin" its first cycle?

a)

(0,0)

b)

(0,1)

c)

(0, Pi)

d)

(1, Pi)

3.

If no horizontal translation occurred, is this graph Sine or Cosine?

a)

y=sinx

b)

y=cosx

4.

If no horizontal translation occurred, is this graph Sine or Cosine?

a)

y=sinx

b)

y=cosx

5.

What does a negative "a" value in the equation of a transformation of sine, cosine, or tangent cause?

a)

A negative amplitude

b)

A reflection across the Y axis

c)

No effect

d)

A reflection across X axis

6.

What is the amplitude of the equation?
$y=3\sin\left(2x\right)+4$

a)

3

b)

2

c)

4

d)

1/2

7.

Which transformation below was applied to the function $y=-\frac{1}{2}\sin\left(3x\right)$

a)

Reflection over the y-axis

b)

Vertical stretch by 2

c)

Horizontal stretch by 3

d)

Horizontal shrink (or compression) by 1/3

8.

What is the period of the function $y=\frac{1}{4}\cos\left(4x\right)+1$

a)

$2\pi$

b)

$8\pi$

c)

$\frac{\pi}{2}$

d)

$\frac{\pi}{4}$

9.

Which equation below matches the following description: The cosine function is translated $\pi$ units to the right, 4 units up and is vertically stretched by a factor of 3.

a)

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

b)

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

c)

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

d)

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

10.

Write an equation for the cosine function with amplitude 3, period $2\pi$ , phase shift of $\pi$ units to the right, and vertical shift of 5.

a)

y = 5cos(x - $\pi$ ) + 3

b)

y = 3cos(x - $\pi$ ) + 5

c)

y = 3cos(2x - $\pi$ ) + 5

d)

y = 5cos(2x - $\pi$ ) + 3

11.

What is the amplitude and period of the function: y= $\frac{2}{5}$ sin9x

a)

Amplitude: 2/5 Period: 2π/9

b)

Amplitude: 2/5 Period: π/6

c)

Amplitude: 5/2 Period: 2π/9

d)

Amplitude: 5/2 Period: π/6

12.

What is the vertical shift for

y = 4 cos(x) - 2?

a)

up 2

b)

left 2

c)

right 2

d)

down 2

13.

What is the domain of the function y=3sinθ - 2

a)

[-1,1]

b)

(-∞,∞)

c)

[-5,1]

d)

[5,-1]

14.

What is the range of the function y=3sinθ - 2

a)

[-1,1]

b)

(-∞,∞)

c)

[-5,1]

d)

[5,-1]

15.

What is the equation of graph?

a)

y = sin 5x

b)

y = cos 5x

c)

y = 5 sin x

d)

y = 5 cos x

16.

Which equation is represented in the given graph?

a)

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

b)

$y=-2\cos\left(x\right)$

c)

$y=-2\sin\left(x\right)$

d)

$y=-2\cos\left(\frac{1}{2}x\right)$

17.

What is the order for the "5 key point cycle" of the sine function (without any transformations!)?

a)

max - midline - min - midline - max

b)

midline - min - midline - max - midline

c)

min - midline - max - midline - min

d)

midline - max - midline - min - midline

18.

What is the order for the "5 key point cycle" of the cosine function (without any transformations!)?

a)

max - midline - min - midline - max

b)

midline - min - midline - max - midline

c)

min - midline - max - midline - min

d)

midline - max - midline - min - midline

19.

How is the "5 key point cycle" of the cosine function affected by a reflection over the x-axis?

a)

max - midline - min - midline - max

b)

midline - min - midline - max - midline

c)

min - midline - max - midline - min

d)

midline - max - midline - min - midline

Unit 7 - Quiz 1 - PRACTICE

Total questions: 19

Worksheet time: 1hrs 16mins

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