Transformations of Basic Graphs

Presentation

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Easy

•

CCSS

HSF-IF.C.7A

Standards-aligned

Deborah Thomas

Used 28+ times

FREE Resource

5 Slides • 5 Questions

NOTICE: MINUS 3 moves the graph to the RIGHT 3...

also, MINUS 3 happens INSIDE the main part of the equation...

in this case... INSIDE the parentheses being SQUARED.

HOW TO

shift a graph horizontally

(side to side,

left or right...)

RIGHT:

NOTICE: PLUS 3 moves the graph to the LEFT 3...

also, PLUS 3 happens INSIDE the main part of the equation...

in this case... INSIDE the parentheses being SQUARED.

HOW TO

shift a graph horizontally

(side to side,

left or right...)

LEFT:

Multiple Choice

What is the equation of the BLUE graph?

y = (x+2)²

y = (x-2)²

y = (x+4)²

y = (x-4)²

Multiple Choice

What is the equation of the RED graph?

y = (x+2)²

y = (x-2)²

y = (x+4)²

y = (x-4)²

NOTICE: PLUS 3 moves the graph UP 3...

also, PLUS 3 happens AFTER the main part of the equation...

in this case... AFTER the part where x is being SQUARED.

HOW TO

shift a graph vertically

(up or down...)

UP:

NOTICE: MINUS 3 moves the graph DOWN 3...

also, MINUS 3 happens AFTER the main part of the equation...

in this case... AFTER the part where x is being SQUARED.

HOW TO

shift a graph vertically

(up or down...)

DOWN:

Multiple Choice

What is the equation of the BLUE graph?

y = (x+4)²

y = (x-4)²

y = x² + 4

y = x² - 4

Multiple Choice

What is the equation of the RED graph?

y = (x+4)²

y = (x-4)²

y = x² + 4

y = x² - 4

investigate the example provided carefully -- you will be asked to do one on your own next...

HOW TO

shift a graph horizontal

AND vertically!

Multiple Choice

What is the equation of the RED graph?

y = (x+3)²+ 2

y = (x-3)²+ 2

y = (x+3)²- 2

y = (x-2)²+ 3

y = (x+2)²+ 3

NOTICE: MINUS 3 moves the graph to the RIGHT 3...

also, MINUS 3 happens INSIDE the main part of the equation...

in this case... INSIDE the parentheses being SQUARED.

HOW TO

shift a graph horizontally

(side to side,

left or right...)

RIGHT:

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