A27­8Notes.notebook
March 29, 2016
Algebra 2
Ch.7 Notes Page 43
P43 7­8 Graphing Square Roots and
Other Radical Functions
Aug 19­6:20 AM
Functions and Inverses
Restricted Domain
Mar 24­8:38 AM
1
A27­8Notes.notebook
March 29, 2016
Families of Radical Functions
n
y = a√
(x ­ h) + k
Mar 24­8:42 AM
Translating Square Root Functions Vertically
Parent Function y = √x
y = √x + 2
y = √x ­ 1
Mar 24­8:42 AM
2
A27­8Notes.notebook
March 29, 2016
Translating Square Root Functions Horizontally
Parent Function y = √x
y = √(x + 3)
y = √(x ­ 2)
Mar 24­8:42 AM
Graphing Square Root Functions
Combined Transformation
y = a√(x ­ h) + k
0 < a < 1 shrink
a > 1 stretch
Parent y = ­2√x
y = ­2√(x + 1) ­ 3
Mar 24­8:43 AM
3
A27­8Notes.notebook
March 29, 2016
Solving by Graphing
You can model the time t, in seconds, an object takes to reach the ground falling from a height H, in meters, by t(H) = √(2H/g). The value of g is 9.81 m/s2. From what height does an object fall if it takes 7 seconds to reach the ground?
y1 = 7
y2 = √(2x/9.81)
Calculate the Intersection point with the calculator.
Mar 24­8:43 AM
Rewriting Radical Functions
Rewrite y = √(4x ­ 12) to make it easy to graph
Mar 24­8:43 AM
4
A27­8Notes.notebook
March 29, 2016
HW #44
7­8 P417 #1,5,15,16,25,26,31,32
Please put your name and class period at the top of
the homework. Also include the homework number.
Aug 19­6:25 AM
Graphing Cube Root Functions
y = 2∛x
y = 2∛(x + 3) ­ 1
Mar 24­8:43 AM
5