12­8 Translations of Trigonometric Graphs• phase shift• vertical shift• midline

phase shift:

vertical shift:

midline: a horizontal reference line about which the graph of a trigonometric function .

• midline for parent functions: ______

• midline for functions vertically translated k units: ______

oscillates

Examples: State the amplitude, period, phase shift, and vertical shift of the function. Then graph the function.

1. y = sinθ + 4

Examples: State the amplitude, period, phase shift, and vertical shift of the function. Then graph the function.

2. y = cos(θ - 45o)

Examples: State the amplitude, period, phase shift, and vertical shift of the function. Then graph the function.

3. y =sin[(θ + 30o)] + 4

Examples: State the amplitude, period, phase shift, and vertical shift of the function. Then graph the function.

4. y =-2cos[3(θ -30o)] -4

Page 849,14-32 evens

( sine and cosine graphs only!)