Take out your homework from last night

Answers to the Even Problems:26. 30.

28. 32.

Amplitude: 4Period: 360Phase Shift: right 60Vertical Shift: down 1Midline: y=-1

Amplitude: UndefinedPeriod: 180Phase Shift: left 30Vertical Shift: down 2Midline: y=-2

Amplitude: 1/2Period: 2πPhase Shift: right π/2Vertical Shift: up 4Midline: y=4

Amplitude: 5Period: πPhase Shift: right πVertical Shift: up 3Midline: y=3

Warm-UpIdentify the amplitude, period, phase shift, vertical shift, and midline for the following graphs:

1.

2.

3.

Amplitude: 3Period: πPhase Shift: right π/4Vertical Shift: up 1Midline: y=1

Amplitude: undefinedPeriod: 360Phase Shift: left 90Vertical Shift: down 2Midline: y=-2Amplitude: 1

Period: 720Phase Shift: noneVertical Shift: up 2Midline: y=2

12.8 Graphing Trig Functions with Translations

Steps for Graphing Trig Functions: y= a sin b(θ-h)+k

1.Draw midline y=k.2.Draw dashed lines a units above and below

midline for the amplitude.3.Graph the function using the period without

phase shift (need b).4.Translate the graph h units.

π 2π 3π 4π-4π -3π -2π -π

13. Graph:

14. Use the same procedure to graph:

π 2π 3π 4π-4π -3π -2π -π

Partner Relay Practice• Every set of partners needs a whiteboard, two

markers, an eraser, and a piece of paper.• One partner will be the recorder writing solutions

on paper. • The other partner will be the artist writing the

solutions on the whiteboard.• Make sure the recorder is writing down what the

artist does on the white board. • Start on the blank side of the whiteboard without

the coordinate plane.

Graph

Determine the amplitude, period, phase shift, vertical shift, and midline.1. Draw the midline.2. Draw dash marks for the amplitude.3. Draw the curve without the phase shift using the period.

Graph

Determine the amplitude, period, phase shift, vertical shift, and midline.1. Draw the midline.2. Draw dash marks for the amplitude.3. Draw the curve without the phase shift using the period.4. Draw the final curve with the phase shift.

Graph

Determine the amplitude, period, phase shift, vertical shift, and midline.1. Draw the midline.2. Draw dash marks for the amplitude.3. Draw the curve without the phase shift using the period.4. Draw the final curve with the phase shift.

Graph

Determine the amplitude, period, phase shift, vertical shift, and midline.1. Draw the midline.2. Draw dash marks for the amplitude.3. Draw the curve without the phase shift using the period.4. Draw the final curve with the phase shift.

Graph

Determine the amplitude, period, phase shift, vertical shift, and midline.1. Draw the midline.2. Draw dash marks for the amplitude.3. Draw the curve without the phase shift using the period.4. Draw the final curve with the phase shift.

Graph

Determine the amplitude, period, phase shift, vertical shift, and midline.1. Draw the midline.2. Draw dash marks for the amplitude.3. Draw the curve without the phase shift using the period.4. Draw the final curve with the phase shift.

Homework

12-8 WorksheetThe axis are already drawn for you

Do not change the scale for the x-values!