anonymous
  • anonymous
What is the graph of the absolute value equation? y = 5|x|
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
2 Attachments
wach
  • wach
The graph of an absolute value equation is a V-shape.
wach
  • wach
But what does absolute value do to a number? It makes it always positive. So the graph should be positive and point upwards.

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wach
  • wach
The 5 makes the slope more dramatic. Try multiplying numbers by 5 to demonstrate this: 1 x 5 = 5, 2 x 5 = 10, 4 x 5 = 20
anonymous
  • anonymous
Or rather, a negative value is made a positive value so the negative side is flipped up along the x-axis.
wach
  • wach
Therefore, the slope points will increase very dramatically and the link should become more vertical, if that makes sense.
wach
  • wach
Yes ^
wach
  • wach
@xKingx - The graph should make sense if you try plugging in values for x, and the finding y to find a coordinate. :D
anonymous
  • anonymous
I think I get the first part, but how would I use x to find y?
eyust707
  • eyust707
|dw:1349487109618:dw|
eyust707
  • eyust707
|dw:1349487133105:dw|
eyust707
  • eyust707
Lets plug in x=0|dw:1349487181412:dw|
eyust707
  • eyust707
When x = 1|dw:1349487247460:dw|
eyust707
  • eyust707
|dw:1349487285431:dw|
eyust707
  • eyust707
When x is 0, y is 0 When x is 1, y is 5 When x is -1, y is 5
eyust707
  • eyust707
Now look at the graphs.. there is only one of them that reflects this
anonymous
  • anonymous
So it's actually B?
eyust707
  • eyust707
|dw:1349487457142:dw|
eyust707
  • eyust707
|dw:1349487531328:dw|when x is 0.. y is 0
eyust707
  • eyust707
when x is 1|dw:1349487556857:dw|
eyust707
  • eyust707
y is 5|dw:1349487573888:dw|
eyust707
  • eyust707
|dw:1349487595890:dw|
eyust707
  • eyust707
When x is -1 y is 5|dw:1349487617637:dw|
eyust707
  • eyust707
|dw:1349487643353:dw|
eyust707
  • eyust707
|dw:1349487660182:dw|
eyust707
  • eyust707
Do you see how I did that?
anonymous
  • anonymous
Not exactly...
eyust707
  • eyust707
What part do you not understand?
anonymous
  • anonymous
I'm not sure how you applied what you said to the graph.
eyust707
  • eyust707
|dw:1349487876738:dw|
eyust707
  • eyust707
Here is a plane
eyust707
  • eyust707
I can tell you the location of any point on it by giving you two numbers; an x-value and a y-value
eyust707
  • eyust707
the x value tells you how far left and right to move
eyust707
  • eyust707
the y-value tells you how far up and down to move
eyust707
  • eyust707
If I give you x = 3 and y=2 you want to locate the point you would start at the center of the cross |dw:1349488023608:dw| Then move 3 places to the left |dw:1349488041166:dw| and two places up |dw:1349488101424:dw|
eyust707
  • eyust707
should say 3 places to the *right
eyust707
  • eyust707
Right at the tip of this arrow is where x=3 and y = 2|dw:1349488190735:dw|
eyust707
  • eyust707
Are you following?

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