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Mathematics 14 Online
OpenStudy (anonymous):

@Cosmichaotic

OpenStudy (anonymous):

OpenStudy (anonymous):

Ok so this is trickier. -|x| flips it upside down, that is why it looks like /\ instead of \/ ok?

OpenStudy (anonymous):

ok... on to the weird stuff..

OpenStudy (anonymous):

But it is moved to the right 5 units. So how did we figure out how to do that? - |x - 5| right?

OpenStudy (anonymous):

The minus moves it to the Right 5 units.

OpenStudy (anonymous):

...?

OpenStudy (anonymous):

C

OpenStudy (anonymous):

It's C!*

OpenStudy (anonymous):

Yep the - || is why it's /\ and the |x-5| is why it moved to the right.

OpenStudy (anonymous):

Thank you so much; this is the fastest math lessons I've ever had! :)

OpenStudy (anonymous):

Can I show you something really quick?

OpenStudy (anonymous):

sure .

OpenStudy (anonymous):

Ok it will be quick I promise.

OpenStudy (anonymous):

I want you to look at the following 3 equations. 1. y = x 2. y = x^2 3. y = |x|

OpenStudy (anonymous):

Do you know what these look like on a graph?

OpenStudy (anonymous):

This is VERY important for you to know, I promise!!

OpenStudy (anonymous):

...I know what they look like on a graph, if that helps

OpenStudy (anonymous):

Ok so please do me the favor of graphing x^2 for me. I just want to show you something important.

OpenStudy (anonymous):

No need to mark points on the graph, just draw a general idea of it.

OpenStudy (anonymous):

OpenStudy (anonymous):

Ok good. This is what the graph you START with looks like when you have y = -x^2 y = x^2 + 1 y = (x-1)^2 And Every combination where x^2 is in the equation.

OpenStudy (anonymous):

See how each example has x^2 as part of it?

OpenStudy (anonymous):

Don't worry about the numbers. x^2 looks like what you linked.

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

So if you have y = x^2 + 1, you start with x^2

OpenStudy (anonymous):

|dw:1404682195964:dw|

OpenStudy (anonymous):

Then you see how it moves this graph up 1?

OpenStudy (anonymous):

|dw:1404682220232:dw|

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