Day 2­ Square roots and cube roots
October 17, 2014
Objective: 6.4
Graph square root functions and cube root functions
Find the domain and range of each graph below
Square Root Function f (x) =
x
Cube Root Function
g (x) = 3 x
Domain: Domain:
Range:
Range: End Behavior: End Behavior: 1
Day 2­ Square roots and cube roots
October 17, 2014
Transformations
f (x) = a x ‐ h + k
a = vertical shrink or stretch If a 0, the graph is reflected over the x‐axis. h = horizonal translation
k = vertical translation
2) y = 3 x­1 + 2
Domain: _______________________
Range: ________________________
Transformations: End Behavior:
2
Day 2­ Square roots and cube roots
October 17, 2014
3) y = ­1/2 x+3 + 2
Domain: _______________________
Range: ________________________
Transformations: End Behavior: 4) Write an equation for the square root function that shifts 2 units to the right and 4 units down. **HINT** Start at the parent function.
5) Write an equation for a square root function that shifts left 5 units and 4 units up from the function
y=2 x‐2 + 4.
3
Day 2­ Square roots and cube roots
7)
October 17, 2014
y = ­2 3 x+3 (h,k):
Domain:
Range:
Transformations: End Behavior:
8) y = 3 x­4 +4
(h,k):
Domain:
Range:
Transformations: End Behavior:
4
Day 2­ Square roots and cube roots
October 17, 2014
Find the domain and range WITHOUT graphing
9) y= ‐2 x+3 ‐1
10) y= 2 x‐3 ‐2
11) y = 3 x+3 +1
12) y= 4 x+7 +3
5