

Cube Root Graphs
Presentation
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Easy
Standards-aligned
Christine Lennox
Used 16+ times
FREE Resource
13 Slides • 2 Questions
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Lesson :Cube Root Graphs
Today we will learn new family of functions

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Meet the Cube Roots
Domain: All Real Numbers
Range: All Real Numbers
Looks Like a "s"
***The a,h,k are back and surprise.... They do the same things they did to other functions
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Negative Cube Roots
Since -f(x) reflects the graph of f(x) in the x-axis, we get a backwards "s" (green graph)
The two graphs together look like a chromosome
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Poll
Does the function shown have a + or - in front of the equation?
+
-
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Multiple Choice
How to you think the graph compares to the parent function?
Right 5, Down 2
Left 5, Down 2
Right 2, Up 5
Left 2, Up 5
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Graphing Step 1: The "center" of the S
Given by (h,k)
This is because when you fill in h, the number under the cube root become 0
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Example Step 1:
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Graphing Step 2: Is the graph a normal "S" or a backwards "S"
+a give "S"
-a give backwards "s"
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Step 3: Find the point one to the left/right
use the "a" to figure out the "slope" of the "S"
Plug in an x-value one bigger and one smaller than the h of the center
OR from the center count up/down the "a" and then in the direction that will make your "S" the correct way
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Example Step 3:
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Step 4: Get one more point on BOTH sides
Plug in x-value 8 bigger/smalled than the h of the center (this guaranteed you get the cube rt of +/-8 which is neatly) 2
OR count over 8 left/right from the center and go up/down 2a
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Example Step 4:
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Draw the final graph
Connect the dots
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Example Step 4:
Lesson :Cube Root Graphs
Today we will learn new family of functions

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