Y = lxl
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
TURN STAT PLOTS OFF
2nd
y=
4
enter
then, clear all equations in y= don't forget y8, y9, y0
Y = lxl
Y = abs(x)
Math ­> Num Enter
or 2nd 0 Enter
2
Y = lxl
What about
Y = lxl +2 ?
3
Y = lxl
What about
Y = lxl +2 ?
4
Y = lxl
Y = lxl +2
Y = abs(x)
Y = abs(x) +2
How can we write an equation that will lower the graph?
5
6
7
Y = lxl
Y = lxl ­ 2
Y = abs(x)
Y = abs(x)­2
8
Now try Y = lx ­ 2l
Y = abs(x­2)
What happens to the graph?
9
How can we make the graph shift to the left?
10
Y = lx + 2l
Y = abs(x+2)
11
What changed?
Y = lxl
Y=?
What happened to the equation?
12
Y = lxl
Y = 2 lxl
Experiment on your calculator.
How can you make the graph wider?
13
Y = lxl
Y = 2 lxl
Y = .5 lxl
14
What about upside down?
Y = lxl
y=
15
Y = ­lxl
16
REVIEW
Parent Function y=lxl
Shift up/down
Shift right/left
y= lxl+2
y= lx­2l
Narrow/Wider y= 2 lxl
Flip
y= lxl ­2
y= lx+2l
y= .5 lxl
y = ­ lxl
17
y= lxl +4
y= lxl ­ 1
18
y= lx+3l
y= lx­6l
19
y= 3 lxl y= ­lxl +7
20
y= lx+2l +3
y= ­lx­1l ­ 3
21
y=
y=
y=
y=
22