Download presentation

1
**Parent Functions & Transformations**

2
**Parent functions are common functions of algebra that we .**

A is when we , or a graph. The graph maintains the same general characteristics, but it morphed. transform transformation stretch/compress shift reflect

3
**Graph the parent function using a table of values**

1.

4
**Graph the parent function using a table of values**

2.

5
**Graph the parent function using a table of values**

3.

6
**Graph the parent function using a table of values**

4.

7
**A. is a slide. When we graph translations, we will**

A is a slide. When we graph translations, we will the graph from one location to another. translation shift

8
**Vertical Shifts vertical up down same up down inside**

A shift moves the graph or . If is our function, the graph of is the graph of shifted c units vertically upward. If is our function, the graph of is the graph of shifted c units vertically downward. Note: with vertical shifts, the sign on the movement (+/-) is the direction as what the shift is. So, if the sign is positive we go and when the sign is negative we go . Vertical shifts are never the parentheses. down same up down inside

9
**When looking at the equation of a parent function, a vertical shift is**

When looking at the equation of a parent function, a vertical shift is grouped with the x. not

10
Graph the function 5.

11
Graph the function 6.

12
**Horizontal Shifts horizontal left right opposite left right always**

A shift moves the graph or . If is our function, the graph of is the graph of shifted c units horizontally to the left. If is our function, the graph of is the graph of shifted c units horizontally to the right. Note: with horizontal shifts, the sign on the movement (+/-) is the direction as what the shift is. So, if the sign is positive we go and when the sign is negative we go . Horizontal shifts are inside the parentheses. right opposite left right always

13
Graph the function 7.

14
Graph the function 8.

15
**Vertical Reflections A reflection is a reflection about the .**

The graph of is the graph of reflected about the x-axis. In other words, if there is a out front, we flip over the . vertical x-axis negative x-axis

16
Graph the function 9.

17
Graph the function 10.

18
**Combining Shifts and Reflections**

We can graph both a vertical and horizontal shift at the same time. Just remember the vertical movement is the parentheses, and the horizontal movement is the parentheses. A vertical reflection will also be the parentheses. Order of transformations – work from the inside out! Horizontal Shift Vertical Reflection Vertical Shift outside inside outside

19
Graph the function 11.

20
Graph the function 12.

21
Graph the function 13.

22
Graph the function 14.

Similar presentations

OK

2.5 Shifting, Reflecting, and Stretching Graphs. Shifting Graphs Digital Lesson.

2.5 Shifting, Reflecting, and Stretching Graphs. Shifting Graphs Digital Lesson.

© 2018 SlidePlayer.com Inc.

All rights reserved.

By using this website, you agree with our use of **cookies** to functioning of the site. More info in our Privacy Policy and Google Privacy & Terms.

Ads by Google

Ppt on earthquake with animation Ppt on team building interventions Ppt on cartesian products Ppt on non agricultural activities kenya Ppt on accounting standard 12 Ppt on fauna of italy Ppt on trans-siberian railway city Ppt on self awareness quotes Ppt on is matter around us pure Ppt on cloud computing security issues in infrastructure as a service