ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos


Absolute Value Videos 12 videos

Introduction to Absolute Value
11925 Views

Check out this video to learn more about absolute value and how it has no patience for negative signs.

Absolute Value Problem
7697 Views

We love doing absolute value problems because it means spending time with our good buddy, the number line. But don’t think we’ve forgotten abou...

Graphing Absolute Value Equations
881 Views

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 verisimilitu...

See All

Graphing Absolute Value Equations 881 Views


Share It!


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.

Language:
English Language

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.

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.

Related Videos

Operations with Rational Expressions
8687 Views

It's impressive that these expressions are able to stay so rational even when they're having operations performed on them.

Numbers and Operations: Elementary Number Theory
606 Views

Jack and Jill went up the hill to fetch a pail of water. But what happened when they got up there? They’ve been gone an awfully long time…

SAT Math 7.3 Algebra and Functions
318 Views

SAT Math 7.3 Algebra and Functions

SAT Math 6.4 Algebra and Functions
486 Views

SAT Math 6.4 Algebra and Functions

ACT Math 2.3 Pre-Algebra
2851 Views

ACT Math: Pre-Algebra Drill 2, Problem 3. Which of the following numbers is smallest?