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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.
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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! :)
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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?
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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):
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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
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