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Mathematics 21 Online
OpenStudy (anonymous):

What is the graph of the absolute value equation? y=|x-5|-4

jimthompson5910 (jim_thompson5910):

hint: General Form of Absolute Value Equations: y = a|x-h| + k

OpenStudy (anonymous):

that dosent make sense?

jimthompson5910 (jim_thompson5910):

the -5 and the -4 tell you how to vertically and horizontally shift the graph of y = |x|

jimthompson5910 (jim_thompson5910):

in general, starting from y = |x| and going to y = a|x-h| + k means that you shift it left/right by h units and you shift it up/down k units

OpenStudy (anonymous):

the chocies that are given to me look like check marks

jimthompson5910 (jim_thompson5910):

what does the graph of y = |x| look like?

OpenStudy (anonymous):

i honestly dont know

jimthompson5910 (jim_thompson5910):

it looks like this http://library.thinkquest.org/20991/media/alg2_absval.gif

OpenStudy (anonymous):

okay i remember doing something like that

jimthompson5910 (jim_thompson5910):

that's good

jimthompson5910 (jim_thompson5910):

use that base graph and the rules given above to shift it and get the graph of y=|x-5|-4

OpenStudy (anonymous):

im not getting the right anwser

jimthompson5910 (jim_thompson5910):

you start with that red graph I gave you, then you shift 5 units to the right (since h = 5) and 4 units down (since k = -4)

OpenStudy (anonymous):

yeah the chocies that they give me dont match

jimthompson5910 (jim_thompson5910):

then you'll have to bring it up with your teacher

OpenStudy (anonymous):

alright thanks

jimthompson5910 (jim_thompson5910):

yw

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