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More On Sideways Parabolas

Yeah...  sorry to tell you...  But, you really do have to know how to graph these...  And I don't want you trying to plot points like you don't know what you're doing!
 

First, let's take a new view of our coordinate system.  arrow

This will get us through these!

Negative x's are to the left of the y axis ... Positive x's are to the right of the y axis ... Positive y's are above the x axis ... Negative y's are below the x axis

 

Now, let me introduce you to Sideways Parabola Guy:

x = y^2 instead of y = x^2

Graph of Sideways Parabola Guy ... goes through the points ( 4 , 2 ) , ( 1 , 1 ) , ( 1 , -1 ) , ( 4 , -2 )

He's the same shape as Standard Parabola Guy.  He opens towards positives -- just like Standard Parabola Guy:

Standard Parabola Guy ... opens towards positives

Sideways Parabola Guy ... opens towards positive x's

Now, we are going to need to be able to move this new guy around.