Question

Trigonometry Questions! Please Help!?

Answer 1

I can try

Answer 2

1. y = sin(x - π/4) + 2

Amplitude = _____
Period = _____
Horizontal shift = _____
Vertical shift = _____

2. y = 2 cos(2πx)

Amplitude = _____
Period = _____
Horizontal shift = _____
Vertical shift = _____

3. Which description matches the transformations y = cos x undergoes to produce y = -2 cos 3x?

A. Horizontal stretch by factor 2, reflection through the x-axis, then vertical stretch by factor 3
B. Horizontal compression by factor 1/3, vertical stretch by factor 2, then a reflection through the x- axis
C. Reflection through the y-axis, vertical shift of 2 units, horizontal shift right by 3 units
D. Horizontal shift left 2 units, then vertical shift up by 3 units

4. Consider the function y = -2 - 3 cos(x+pi). What effect does the -2 have on the basic graph?

A. Vertical shift down 2 units
B. Horizontal shift left 2 units
C. Vertical stretch by factor 2
D. Horizontal shift right 2 units

5. What is the vertical shift of the basic graph to produce a graph of y = -2 - cos(x-pi)?

A. 3 units down
B. pi units down
C. 2 units down
D. pi units up

Answer 3

No sorry

Answer 4

1.Period = 2PI
Phase shift = PI/4

Divide the period by 4 = 2PI/4 = PI/2

PI/4, PI/4+PI/2 = 3PI/4 ; 3PI/4+PI/2 = 5PI/4; 5PI/4+PI/2 = 7PI/4, 7PI/4+PI/2 = 9PI/4
x= PI/4, 3PI/4, 5PI/4, 7PI/4, 9PI/4
sin(x-PI/4) = sin(0), sin(PI/2), sin(PI), sin(3PI/2), sin(2PI)
The y-values are 0, 1, 0, -1, 0