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Graphing Absolute Value Equations 881 Views
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Description:
The easy way to remember the look of an absolute value graph is that they are always a V-shape... and “V” stands for value. Or for verisimilitude. Whichever works better for you.
Transcript
- 00:04
Graphing Absolute Value Equations, a la Shmoop.
- 00:09
The world got you down?
- 00:10
How would you like to live in the land of the positive?
- 00:13
What you need is the Ab-solution!
- 00:16
Just like absolute value, the Ab-solution makes everything positive.
Full Transcript
- 00:21
Negative three? Positive three!
- 00:24
Grizzly bear about to eat your innards? Care bear!
- 00:28
Student loans have you forty-seven thousand in the red?
- 00:31
With the ab-solution, you're suddenly forty-seven thousand in the black!
- 00:35
The ab-Solution works with the magic of Absolute Value, which makes any value... positive.
- 00:41
Here's a graph where y equals the absolute value of x.
- 00:46
This means y must always be positive, regardless of the x-value.
- 00:50
And we'll call (0,0) positive for now.
- 00:57
The power of Absolute Value makes the graph always exist above the x-axis.
- 01:02
But wait!
- 01:03
It also makes it look like a happy chicken.
- 01:09
We can use absolute value equations to see what it looks like on a graph.
- 01:12
We can plot points, but they might not tell us the whole story.
- 01:17
Let's say we have the equation y equals the absolute value of 3x plus 4.
- 01:22
Before we make the stuff inside the absolute value bars positive,
- 01:26
it can be either positive OR negative.
- 01:29
We don't know which, so let's write both.
- 01:32
We can graph both these lines using their slopes and y-intercepts and see what we get.
- 01:38
But remember what absolute value is all about: making things positive.
- 01:43
That means anything below the x-axis is off-limits.
- 01:46
We should end up with a big V-looking thing.
- 01:49
So flip that battery around, and get the ab-solution today!
- 01:53
Only negative 19.99!
- 01:55
Just kidding!
- 01:56
But seriously. We're going to charge your credit card $19.99. Plus shipping and handling.
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