Graphing)Square)Root)Functions)
!
The Square Root Function
1.
What is the parent equation for the Square Root Function? _____________
2. Graph the parent function for Square Root.
3. Domain: ______
Range: ______
4. X-intercept: ________
y-intercrpt: ________
5. What are the coordinates for the 3 major
points: _______, ________, _______
6. Based on your knowledge of parameter changes, describe the roles a, h, and k play
for the family of functions y = a x − h + k . (i.e what does a do, what does h do, what
does k do, and so on……)
a: _________________________________________________________
h: __________________________________________________________
k:__________________________________________________________
7. How would each of the following graphs change in relation to the parent graph?
a) y = x − 3
_____________________________________________
b) y = x + 4
_____________________________________________
c) y = −3 x
_____________________________________________
d) y = x + 5
_____________________________________________
e) y = x − 6
_____________________________________________
f) y = 3 x − 2 + 7
_____________________________________________
Graphing)Square)Root)Functions)
!
8. State the Domain and Range of each function.
Domain
Range
a) y = 5 x
_________
_________
b) y = x + 8
_________
_________
c) y = − x − 7
_________
_________
d) y = x + 2 − 3
_________
_________
e) y = − x − 4 + 1
_________
_________
9. Graph the following square root functions using parameter changes.
a) y = − x
b) y = 3 x + 5
c) y = x − 2
Domain: ________
Domain: ________
Domain: _______
Range:_________
Range:__________
Range: ________
d) y = − x + 3
e) y = x + 2 + 5
f) y = − x + 3 − 3
Domain: ________
Domain: ________
Domain:________
Range: _______
Range: ________
Range: _______