HW: textbook pg. 434 #12-18
Algebra II Pre AP
Notes & WS 10.2 – 10.3 A: Graphing Cube Root Functions
The cube root parent function is y 
3
Name: ___________________________
Date: ___________________ Per _____
y
x . Fill in the table and graph it.
x
y
Domain: ______________________
-8
Range: _______________________
-1
Point of Inflection ______________
x
0
x-intercept: __________________________
1
y-intercept: __________________________
8
increasing or decreasing
Transformations on the parent function
y  a 3 (b( x  c))  d
a……………if negative, reflect over the x-axis
b……………if negative, reflect over the y-axis
1
 1 , horizontal compression
b
……………if 0  a  1 , vertical compression
……………if 0 
……………if a  1 , vertical stretch
……………if
d……………vertical shift
c……………horizontal shift
1
 1 , horizontal stretch
b
Graph each of the following. State the domain, range, point of inflection, intercepts, and transformations.
1.) y  
13
x
2
2.) y  3 3  2 x 
3.) y 
3
  x  5  3
Domain: _________ Range: _________ Domain: _________ Range: _________ Domain: _________ Range: _________
Point of Inflection ______________
Point of Inflection ______________
Point of Inflection ______________
x-intercept:____________________
x-intercept:__________________
x-intercept:__________________
y-intercept: ____________________
y-intercept: ____________________
y-intercept: ____________________
Transformations:
Transformations:
Transformations:
4.) y  2 3  x  6   4
5.) y  2 3
1
 x  2  3
4
6.) y 
3
 2 x  8  5
Domain: _________ Range: _________ Domain: _________ Range: _________ Domain: _________ Range: _________
Point of Inflection ______________
Point of Inflection ______________
Point of Inflection ______________
x-intercept:____________________
x-intercept:__________________
x-intercept:__________________
y-intercept: ____________________
y-intercept: ____________________
y-intercept: ____________________
Transformations:
Transformations:
Transformations:
7.) y  3
3
 4x   4
8.) y  4
3
 1

  x  3  5
 2

9.) y  4
3
 2 x  6  1
Domain: _________ Range: _________ Domain: _________ Range: _________ Domain: _________ Range: _________
Point of Inflection ______________
Point of Inflection ______________
Point of Inflection ______________
x-intercept:____________________
x-intercept:__________________
x-intercept:__________________
y-intercept: ____________________
y-intercept: ____________________
y-intercept: ____________________
Transformations:
Transformations:
Transformations: