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Absolute Value
By Marissa Considine
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Last updated over 2 years ago
27 questions
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Question 1
1.
Solve:
List your answers with a comma in between, for example: 8,9
Question 2
2.
Solve:
4|x-0.8|+5=1
Fill in the "Absolute Value Transformations" Notes sheet as you work throught the rest of this Formative.
The 'parent' absolute value graph is y=|x| with the vertex at (0,0) and a slope of \pm 1.
We will be relating all the graphs back to this one.
Sketch this graph on the blank coordinate plane at the top of your notes sheet.
Question 3
3.
Below is the graph of y=|x-2|. Copy this graph on your paper.
Where is the vertex of y=|x-2|?
(x,y)
Question 4
4.
Does
subtracting
inside
the absolute value symbols shift the graph y=|x| up, down, left, or right?
Question 5
5.
Below is the graph of y=|x+2|.Copy this graph on your paper.
Where is the vertex of y=|x+2|?
(x,y)
Question 6
6.
Does
adding
inside
the absolute value symbols shift the graph y=|x|up, down, right, or left?
Question 7
7.
Below is the graph of y=|x|-2. Copy this graph on your paper.
Where is the vertex of y=|x|-2?
(x,y)
Question 8
8.
Does
subtracting
outside
the absolute value symbols shift the graph y=|x| up, down, right, or left?
Question 9
9.
Below is the graph of y=|x|+2. Copy this graph on your paper.
Where is the vertex of y=|x|+2?
(x,y)
Question 10
10.
Does
adding
outside
the absolute value symbols shift the graph y=|x| up, down, right, or left?
Question 11
11.
Select the transformations for this graph:
right 1
down 3
up 1
right 3
left 3
left 1
Question 12
12.
Select the transformations for this graph:
up 4
left 7
right 7
right 4
down 7
left 4
Flip over your notes sheet and copy this down in the blank rectangle at the top:
Question 13
13.
Where is the vertex (x,y) for this graph:
Question 14
14.
Where is the vertex (x,y) for this graph:
Question 15
15.
Where is the vertex (x,y) for this graph:
Question 16
16.
Where is the vertex (x,y) for this graph:
Question 17
17.
Where is the vertex (x,y) for this graph:
Question 18
18.
Match each graph with its correct equation.
y=\left|x-1\right|-2
y=\left|x+1\right|+2
y=\left|x+2\right|-1
y=\left|x-2\right|+1
Question 19
19.
Below is the graph of y=2|x|. Copy this graph down on your paper.
Where is the vertex of y=2|x|?
(x,y)
Question 20
20.
Is the slope of y=2|x| still \pm 1?
Yes
No, now the slope is \pm 2.
No, now the slope is \pm 1/2.
Question 21
21.
Is the graph y=2|x| more narrow or more wide than the parent graph y=|x|?
Question 22
22.
Below is the graph y=1/2|x|. Copy this graph on your paper.
Where is the vertex of y=1/2|x|
(x,y)
Question 23
23.
Is the slope of y=1/2|x| still \pm 1?
Yes
No, now the slope is \pm 2.
No, now the slope is \pm 1/2.
Question 24
24.
Is the graph of y=1/2|x| more narrow or more wide than the parent graph y=|x|?
Question 25
25.
Below is the graph y=-|x|. Copy this graph on your paper.
Where is the vertex of y=-|x|?
(x,y)
Question 26
26.
How is the graph y=-|x| different from the parent function y=|x|?
It's more wide
It's more narrow
It's exactly the same
It's upside-down
Add the red notes on "a" to the rectangle at the top of your paper:
Question 27
27.
Match each graph with its correct equation.
y=-\left|x+3\right|+4
y=-3\left|x+4\right|+3
y=-\frac{1}{3}\left|x+3\right|+4
y=2\left|x+4\right|+1
y=\frac{1}{2}\left|x+4\right|+1
y=3\left|x-3\right|+4
y=\left|x-3\right|+4
Now graph the last equation on your paper and raise your hand when you're done!