7.5 Graphing Square Root Functions

7.5 Graphing Square Root Functions
y=
x
x
y
-4
-1
0
1
4
Domain:
Range:
Plot y =
x
y
x +2
-4
-1
0
1
How does this shift y = x
Plot y =
x
Y
x
y
x
y
Domain:
Range:
4
9
Domain:
Range:
x !3
-4
-1
0
1
?
y = x+2
-4
-3
-2
How does this shift y = x
Plot
9
?
How does this shift y = x
Plot
4
-1
2
Domain:
Range:
7
?
y = x!3
0
1
2
How does this shift y = x
3
?
4
7
Domain:
Range:
9
7.5 Graphing Square Root Functions
Re-plot
Plot y =
x
y
y=
x
2 x
-4
-1
How does this shift
Plot y =
x
y
x
y
-4
-1
x
y
-4
9
Domain:
Range:
1
4
9
Domain:
Range:
1
4
9
Domain:
Range:
1
4
9
Domain:
Range:
?
0
y= x
-1
?
0
y= x
?
!3 x
-4
-1
How does this shift
Plot y =
4
! x
How does this shift
Plot y =
y= x
1
1
x
2
How does this shift
Plot y =
0
0
y= x
?
x+5+6
Domain:
Range:
x
y
How does this shift
y= x
?
Standard Form of a Radical Function:
Homework: p.434 #15,16,19-22,25-29
y=a x!h+k
7.5 Graphing Square Root Functions