# Day 8 - TEST

## by Shannon Umberger

## Student TEST

1. For each of the given functions, determine
the amplitude or vertical stretching/shrinking, period, phase
shift, and vertical shift. (4 points each)

1. y = -2sinx - 5

2. y = tan2(x - p/4) + 1

3. y = sec0.5x + 2

4. y = 0.5cos1.5(x - p)

5. y = -4csc(2x + p)

6. y = 3cotx

2. For each of the given graphs, determine
the amplitude, period, and vertical shift. Then state the equation
of the function. (4 points each)

1.

2.

3.

4.

3. Graph each function using the given interval.
(6 points each)

1. y = 2sinx + 1, [-2p, 2p]

2. y = sec2x, [0, 2p]

3. y = -2cosx, [0, 2p]

4. y = sin2x - 2cosx, [0, 2p]

5. y = -3cos0.5x, [0, 4p]

6. y = -2sin(x - p/2), [0, 4p]

7. y = cos(x + p) - 2, [0, 4p]

8. y = tanx + 1, [-2p, 2p]

9. y = 2cscx, [-2p, 2p]

10. y = cosx + 2sinx, [0, 2p]

## Teacher Key for Student Test

1. For each of the given functions, determine
the amplitude, period, phase shift, and vertical shift. (4 points
each)

1. amp = 2, pd = 2p, ps = 0, vs = 5 down

2. none, pd = p/2, ps = p/4 right, vs = 1 up

3. amp = 1, pd = 4p, ps = 0, vs = 2 up

4. amp = 0.5, pd = 4p/3, ps = p right, vs =
0

5. (First factor out 2: y = -4csc2(x + p/2)) amp = 4,
pd = p,
ps = p/2
left, vs = 0

6. v. stretch = 3, pd = p, ps = 0, vs = 0

2. For each of the given graphs, determine
the amplitude, period, and vertical shift. Then state the equation
of the function. (4 points each)

1. amp = 0.5, pd = 2p, vs = 0, y = -0.5sinx

2. amp = 1, pd = p, vs = 0, y = cos2x

3. amp = 1, pd = 2p, vs = 2 down, y = sin0.5x - 2

4. amp = 2, pd = 2p, vs = 1 up, y = 2cosx + 1

3. Graph each function using the given interval.
(6 points each)

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

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