Graphing Square Root and Cube
Root Functions
Don’t freak out…
• YOU learned the basics to graphing last
chapter
• This is just reinforcement!
Where we see ‘em…
Cube root and square root
Parent Square Root
X/Y table
X Value
4
9
16
25
36
49
64
Y Value
Parent Cube Root
X/Y table
X Value
8
27
64
-8
-27
-64
Y Value
Translations
Translations
You tell me…
• What would placing a negative sign in front of
the radical do?
• What would placing a number like 2 in front of
the radical do?
Practice
Ex: Graphing Square Root Functions
• Graph the parent function of the square root function and the
following function on the same graph. Tell what transformation
were done to the square root parent function. Graph at least
four points on each.
a.
y = x +5
Ex: Graphing Square Root Functions
• Graph the parent function of the square root function and the
following function on the same graph. Tell what transformation
were done to the square root parent function. Graph at least
three points on each.
b. y = x − 3
Ex: Graphing Square Root Functions
• Graph the parent function of the square root function and the
following function on the same graph. Tell what transformation
were done to the square root parent function. Graph at least
four points on each.
c.
y = x + 2 +1
Ex: Graphing Square Root Functions
• Graph the parent function of the square root function and the
following function on the same graph. Tell what transformation
were done to the square root parent function. Graph at least
four points on each.
d. y = 2 x
Square Roots and nth roots
• When c≥0, the square root of c is the non
negative solution of the equation x2=c
• Cube roots, fourth roots, and higher roots are
defined as solutions of the equation xn=c
• These equations can be solve graphically by
finding the x coordinate of the intersection
points of y=xn and y=c
Solutions to nth roots
Review…
Evaluate in your calculator
• 401/5
• 2251/111
• Watch your parentheses
Rational Exponents
Simplify