y=x
2
What does the graph look like?
• Is it linear or non­linear?
• Is it increasing or decreasing?
• What is it called?
How can we shift the graph...
• Up?
• Down?
• Right?
• Left?
• Narrow?
• Widen?
1
y=x
2
What about
2
y=x +2 ??
2
y=x
2
2
y=x +2
How can we write an equation that will lower the graph?
3
4
5
y=x
2
2
y=x ­2
6
2
Now try y=(x­2)
What happens to the graph?
7
y=x
2
2
y=(x­2)
How can we make the graph shift to the left?
8
2
y=(x+2)
9
What changed?
y=x
2
y=
What happened to the equation?
10
y=x
2
y=2x
2
Experiment on your calculator.
How can you make the graph wider?
11
y=x
2
y=2x
y=2x
y=.5x
2
2
2
12
What about upside down?
y=x
2
y=
13
y = ­x
2
14
REVIEW
2
Parent Function y=x
Shift up/down
2
y=x ­2
2
y=x +2
2
Shift right/left
y=(x­2)
2
Narrow/Wider y=2x
Flip
y = ­x
2
y=(x+2)
y=.5x
2
2
15
2
y=x +4
2
y=x ­1
16
y=(x+3)
2
y=(x­6)
2
17
2
y=x ­3
2
y= ­x +7
18
2
y=(x+2) +3
2
y= ­(x­1) ­3
19
y=
y=
y=
y=
20
y=
y=
y=
y=
21
y=
y=
y=
22