What are the four graph transformations
y = f(x) + a
y = f(x - a)
y = -f(x)
y = f(-x)
Describe y = f(x) + a
Translation (O/A)
Moves up for positive a
Moves down for negative a
Describe y = f(x - a)
Translation (a/o)
Moves right when a is negative
Moves left when a is positive
Describe y = -f(x)
Reflection in the x axis
The negative only affects the y coordinates
Describe y = f(-x)
Reflection in the y axis
Only affects the x coordinates
What is y = f(x) known as
Function notation
describe the graph for y = sin x
0, 0
90, 1
180, 0
270, -1
360, 0
describe the graph of y = cos x
0, 1
90, 0
180, -1
270, 0
360, 1
describe the graph of y = tan x
0, 0
45, 1
90 (dotted line)
180, 0
270 (dotted line)
360, 0
lines never touch dotted line or y axis