# Day 8 - TEST

## 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)

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2.

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10.