Review for Assessment – Graphing and Transforming Trig Functions

Determine the Amplitude, Period, and all transformations of each function provided below.

1. f ( x )=−1+sin (3 x−9) 2. g ( x )=−23cos (3 x )

3. h ( x )=−5+2cos ( 3x4 ) 4. f ( x )=−sin( x3− π2 )+4

5. f ( x )=−12

−2cos( x+ π6 ) 6. g ( x )=−35sin( 5 x6 −5 π

12 )+1

Graph each function and determine all of its key features.

1. f ( x )=sin( 3x2 )+8

2. h ( x )=−2cos (x+ π2 )+2

3. f ( x )=−tan ( x )−4

4. f ( x )=2+sin(3 x−π2 )

5. g ( x )=3cos( x3−3π2 )

6. h ( x )=−5+ tan(x−3 π2 )

Match the functions below on the left with their graphs on the right.

1. f ( x )=3− tan (x )

2. h ( x )=−3+ tan(x+ π2 )

3. t ( x )=−2cos (3 x+ 3 π2 )

4. f ( x )=2sin(3 x2 )