xKingx
What is the graph of the absolute value equation? y = 5|x|
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xKingx
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wach
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The graph of an absolute value equation is a V-shape.
wach
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But what does absolute value do to a number? It makes it always positive. So the graph should be positive and point upwards.
wach
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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
j814wong
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Or rather, a negative value is made a positive value so the negative side is flipped up along the x-axis.
wach
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Therefore, the slope points will increase very dramatically and the link should become more vertical, if that makes sense.
wach
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Yes ^
wach
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@xKingx - The graph should make sense if you try plugging in values for x, and the finding y to find a coordinate. :D
xKingx
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I think I get the first part, but how would I use x to find y?
eyust707
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|dw:1349487109618:dw|
eyust707
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|dw:1349487133105:dw|
eyust707
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Lets plug in x=0|dw:1349487181412:dw|
eyust707
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When x = 1|dw:1349487247460:dw|
eyust707
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|dw:1349487285431:dw|
eyust707
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When x is 0, y is 0
When x is 1, y is 5
When x is -1, y is 5
eyust707
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Now look at the graphs.. there is only one of them that reflects this
xKingx
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So it's actually B?
eyust707
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|dw:1349487457142:dw|
eyust707
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|dw:1349487531328:dw|when x is 0.. y is 0
eyust707
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when x is 1|dw:1349487556857:dw|
eyust707
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y is 5|dw:1349487573888:dw|
eyust707
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|dw:1349487595890:dw|
eyust707
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When x is -1 y is 5|dw:1349487617637:dw|
eyust707
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|dw:1349487643353:dw|
eyust707
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|dw:1349487660182:dw|
eyust707
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Do you see how I did that?
xKingx
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Not exactly...
eyust707
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What part do you not understand?
xKingx
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I'm not sure how you applied what you said to the graph.
eyust707
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|dw:1349487876738:dw|
eyust707
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Here is a plane
eyust707
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I can tell you the location of any point on it by giving you two numbers; an x-value and a y-value
eyust707
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the x value tells you how far left and right to move
eyust707
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the y-value tells you how far up and down to move
eyust707
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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
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should say 3 places to the *right
eyust707
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Right at the tip of this arrow is where x=3 and y = 2|dw:1349488190735:dw|
eyust707
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Are you following?