Graphing Radical Equations
2nd point: move from (h, k)   right "1" & up/down "a"
y = a√(x-h) + k
Square Root
opposite
start point
Graphing using a start point "center" and offset.
same
Graphing Radical Equations
(h, k)
2nd point: move from (h, k)   right "1" & up/down "a"
3rd point: move from (h, k)   left "1" & down/up "a"
y = a∛(x-h) + k
Cube Root
start point
opposite
same
*Since only positive numbers can be square rooted, graph has only 1 bend.
Example:
(h, k) = (0, 0)
a = 1right 1 up 1
y = a√(x-h) + k
Square Root
Graphing Radical Equations
*Since positive AND negative numbers can be cube rooted, graph has 2 bends.
Graphing Radical Equations
Example:
y = a∛(x-h) + k
(h, k) = (0, 0)
a = 1right 1 & up 1a = 1left 1 & down 1
Cube Root
(h, k) = (    ,    )
Enter the start point:
Enter the multiplier (value for a):
Enter the movement:
right       up
a = 
y = a√(x-h) + k
Square Root
Graphing Radical Equations
1
1
Graphing Radical Equations
2
1
1
2
(h, k) = (    ,    )
Enter the start point:
Enter the multiplier (value for a):
a = 
Enter the movements:
right       up 
left  -    down  -
y = a∛(x-h) + k
Cube Root
Let's try square root functions.
√ x
* the green start point will be on the graph
to help you identify the ordered pair.
*Since only positive numberscan be square rooted, graphhas only 1 bend away from thestart point.
if a > 0 bend is upif a < 0 bend is down
y = a√(x-h) + k
Square Root
Graphing Radical Equations
A
C
D
B
y = a√(x-h) + k
Square Root
A
C
Graphing Radical Equations
B
D
y = a√(x-h) + k
Square Root
C
A
Graphing Radical Equations
D
B
y = a√(x-h) + k
Square Root
C
A
Graphing Radical Equations
D
B
y = a√(x-h) + k
Square Root
C
A
Graphing Radical Equations
D
B
y = a√(x-h) + k
Square Root
C
Graphing Radical Equations
A
D
B
y = a√(x-h) + k
Square Root
C
Graphing Radical Equations
A
D
B
y = a√(x-h) + k
Square Root
C
Graphing Radical Equations
A
D
B
Let's try cube root functions.
* the green start point will be on the graph
to help you identify the ordered pair.
∛ x
*Since positive AND negativenumbers can be square rooted,graph has 2 bends away fromthe start point.
if a > 0 bend is up/right     & down/leftif a < 0 bend is down/right     & up/left
y = a∛(x-h) + k
Cube Root
C
Graphing Radical Equations
A
D
B
y = a∛(x-h) + k
Cube Root
C
Graphing Radical Equations
A
D
B
y = a∛(x-h) + k
Cube Root
C
Graphing Radical Equations
A
D
B
y = a∛(x-h) + k
Cube Root
C
Graphing Radical Equations
A
B
D
y = a∛(x-h) + k
Cube Root
Graphing Radical Equations
C
A
D
B
y = a∛(x-h) + k
Cube Root
Graphing Radical Equations
C
A
D
B
y = a∛(x-h) + k
Cube Root
Graphing Radical Equations
A
C
D
B
y = a∛(x-h) + k
Cube Root
Graphing Radical Equations
A
C
D
B
√x
√x
√x
∛x
∛x
∛x
∛x
√x
A combination of square and cube root problems
∛x
√x
∛x
√x
∛x
Graphing
√x
√x
√x
√x
∛x
∛x
∛x
∛x
Graphing Radical Equations
C
A
D
B
Graphing Radical Equations
C
A
D
B
C
A
Graphing Radical Equations
D
B
Graphing Radical Equations
C
A
D
B
Graphing Radical Equations
C
A
D
B
Graphing Radical Equations
C
A
D
B
Graphing Radical Equations
C
A
D
B
Graphing Radical Equations
C
A
D
B
Graphing Radical Equations
C
A
D
B
Graphing Radical Equations
C
A
D
B
Graphing Radical Equations
C
A
D
B
Graphing Radical Equations
C
A
D
B
Graphing Radical Equations
C
A
D
B
Graphing Radical Equations
A
C
D
B
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