7.8 Graphing Square Root and Other Radical Functions
The big secret in life is that there is no big
secret. Whatever your goal, you can get there if
you're willing to work.
Parent Functions ~ Roots
Ex1) Graph y  x
Ex2) Graph y  3 x
5
5
4
4
3
3
2
2
1
1
-5 -4 -3 -2 -1
1
2
3
4
5
-5 -4 -3 -2 -1
1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
2
3
4
5
Transformations (the whole enchilada)
y axh k
vertical stretch (|a| > 1)
#2: horizontal
vertical shrink (0 < |a| < 1)
translation
*negative: reflection over x-axis
(opposite)
#3: vertical
translation
Describe
Describe, in order, the sequence of transformations of each
function and then graph the function by hand.
Ex3) f ( x)  x  2  3
Ex4) f ( x)  3 x  1  4
1
Ex5) f ( x)  
x 3  2
4
5
5
5
4
4
4
3
3
3
2
2
2
1
1
1
-5 -4 -3 -2 -1
1
2
3
4
5
-5 -4 -3 -2 -1
1
2
3
4
5
-5 -4 -3 -2 -1
1
-1
-1
-1
-2
-2
-2
-3
-3
-3
-4
-4
-4
-5
-5
-5
2
3
4
5
Describe
Describe, in order, the sequence of transformations of each
function and then graph the function by hand.
Ex6) f ( x)  2 3 x  2  1 Ex7) f ( x)   1 3 x  1  2
2
5
5
4
4
3
3
2
2
1
1
-5 -4 -3 -2 -1
1
2
3
4
5
-5 -4 -3 -2 -1
1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
2
3
4
5
7.8 Graphing Square Root and Other Radical Functions
HW: 1 – 23 odd
The big secret in life is that there is no big
secret. Whatever your goal, you can get there if
you're willing to work.