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Mathematics 16 Online
OpenStudy (beccaboo333):

Select the point that is on the right side of the vertex of y = |x + 4| + 3.

OpenStudy (beccaboo333):

A. (-3, 4) B. (-4, 3) C. (-5, 4) D. (-6, 5)

OpenStudy (e.mccormick):

Did you graph it? Or you can do it bu pure math.

OpenStudy (beccaboo333):

i dont even know how to do any of this..

OpenStudy (e.mccormick):

Well, know what the graph of |x| looks like?

OpenStudy (beccaboo333):

nope

OpenStudy (beccaboo333):

i suck at algebra..

OpenStudy (e.mccormick):

|dw:1381599741395:dw| Because the absolute value is always positive, it makes the y value the same as the x value, but positive. Now that is y=|x| but yours has some shifts: y = |x + 4| + 3

OpenStudy (beccaboo333):

what...?

OpenStudy (e.mccormick):

The things inside ( ) or | | and next to x are shifts to the x value. Oddly, when you shift x this way it goes the opposite way. so |x+1| means shift LEFT by 1. |x+4| means shift left by 4.

OpenStudy (beccaboo333):

this is confusing me a lot

OpenStudy (e.mccormick):

Yah, is is not an easy topic to explain. That is why I am taking it one step at a time. |dw:1381599970988:dw|

OpenStudy (e.mccormick):

So that is: y = |x + 4| but you need: y = |x + 4| + 3 The +3 is a y shift. It makes it go up three.

OpenStudy (e.mccormick):

|dw:1381600102217:dw| That is the graph they are asking about.

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