Take Note: Sketch the axis of symmetry on the absolute value function graphed on the canvas. Use a bright color.
5 points
5
Question 2
2.
Take Note: Circle the vertex of the absolute value function graphed on the canvas. Use a bright color.
10 points
10
Question 3
3.
How is the graph of y = |x| + 2 related to the graph of its parent function y = |x|?
10 points
10
Question 4
4.
Take Note: Match each general form of a transformation of the parent absolute value function on the left with the type of transformation it represents.
You may need to zoom out to see all of the items. You can also place each item from the left column by selecting it (click it) then selecting (clicking on) the category for it.
Draggable item
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Corresponding Item
y=-|x|
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Reflection in the x-axis
y=a|x|, \ 0<a<1
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Vertical stretch
y=|x|-k, \ k>0
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Vertical compression
y=a|x|, \ a>1
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Horizontal translation right
y=|x-h|, \ h>0
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Horizontal translation left
y=|x|+k, \ k>0
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Vertical translation up
y=|x+h|, \ h>0
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Vertical translation down
10 points
10
Question 5
5.
Problem 2 Got It? What is the graph of the function? Graph the function on the canvas. Use a color other than black.
10 points
10
Question 6
6.
What is the graph of the function? Graph the function on the canvas. Use a color other than black.
10 points
10
Question 7
7.
What is the graph of the function? Graph the function on the canvas. Use a color other than black.
10 points
10
Question 8
8.
Take Note: Consider the general form of the absolute value function y=a|x-h|+k.
Match each item on the left with the element of the graph of the function that it represents or causes.
Draggable item
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Corresponding Item
h
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The vertex of the graph of the function
a
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The axis of symmetry of the graph of the function
k
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Vertical stretch or compression
x=h
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Horizontal translation
(h,k)
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Vertical translation
10 points
10
Question 9
9.
What are the vertex and axis of symmetry? How has it transformed from parent function?
1 point
1
Question 10
10.
What is the equation of the absolute value function?
