Trigonometry and waveforms

Question 1

with a distance r and angle theta, what does x and y equal on a graph

Answer 1

x = r cos theta
y = r sin theta

Question 2

What transformation does f(x) + d represent

Answer 2

Vertical translation up d units

Question 3

What transformation does f(x) - d represent

Answer 3

Vertical translation down d units

Question 4

What transformation does f(x + d) represent

Answer 4

Horizontal translation left d units

Question 5

What transformation does f(x - d) represent

Answer 5

Horizontal translation right d units

Question 6

What transformation does -f(x) represent

Answer 6

reflection over x axis

Question 7

What transformation does f(-x) represent

Answer 7

reflection over y axis

Question 8

What transformation does af(x) represent

Answer 8

Vertical stretch by factor of a

Question 9

What transformation does f(ax) represent

Answer 9

Horizontal compression by a factor of a

Question 10

How do you convert from degrees to radians?

Answer 10

Multiply by pi, then divide by 180