Download presentation

Presentation is loading. Please wait.

Published byMelina Trescott Modified over 2 years ago

1
Translations of sine and cosine graphs The graph will be shifted to the right by c. The graph will be shifted up d. We already know what A and B are used for.

2
Identify the period, amplitude and translation: 1. 2. 3. Amp: Per: Trans: Amp: Per: Trans: Amp: Per: Trans:

3
Step by Step Graphing of a Sine or Cosine function: Example: Step 1: Draw the center line of the graph by graphing the horizontal line y = d. This is also called the axis of the wave.

4
Step 2: Using A, draw two horizontal lines, Y=d+a Y=d-a This gives us our maximum and minimum values for the functions (Top and bottom of the graph)

5
Step 3: Determine the period of the function using B, and use this to find the new spacing of the graph. We have done this before! Period =

6
Step 4 your starting point for the graph: Sin and Cos will vary: Sin –Plot the point (c,d) Cos –Plot the point (c, max)

7
Graphing with translations: Graph for discussion Amp: Per: Trans:

8
Graphing with translations: Graph for discussion Amp: Per: Trans:

9
Graphing with translations: Graph for discussion Amp: Per: Trans:

10
Homework Day 1 P. 313 9-14 All

11
Write the equation of the given function

12
Application At a certain spot the water level is 6m at low tide and 14 m at high tide. If the tide has period of 12.4 hours, find an equation for the water level.

13
Homework 8.3 Worksheet

Similar presentations

OK

Today you will use shifts and vertical stretches to graph and find the equations of sinusoidal functions. You will also learn the 5-point method for sketching.

Today you will use shifts and vertical stretches to graph and find the equations of sinusoidal functions. You will also learn the 5-point method for sketching.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on mahatma gandhi movements Ppt on online shopping procedure Ppt on non agricultural activities in jamaica Ppt on conservation of momentum examples Jit ppt on manufacturing company Ppt on national education day images Consumer behaviour ppt on luxury watch brands Ppt on bank lending practices Ppt on atrial septal defect repair Ppt on magnetic field lines