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Mathematics 8 Online
OpenStudy (iwanttogotostanford):

pre-calc

OpenStudy (phi):

\[ y= \frac{x^2 + 3x-4}{x+4}\] you can factor the top into (x-1)(x+4) \[ y = \frac{ (x-1)(x+4)}{(x+4)}\]

OpenStudy (phi):

you are not allowed to divide by 0, x+4 is zero if x is -4 so at x=-4 you should have a "hole" to show we can't plot anything there

OpenStudy (iwanttogotostanford):

could you graph it for me as an example please??

OpenStudy (phi):

for all other x's (x+4) is not zero, so we can simplify (x+4)/(x+4) to 1 and the graph is y= x-1

OpenStudy (iwanttogotostanford):

so would the graph look like this:

OpenStudy (iwanttogotostanford):

|dw:1447946800728:dw|

OpenStudy (iwanttogotostanford):

coordinates (-4,5)

OpenStudy (iwanttogotostanford):

(-4,-5)

OpenStudy (phi):

yes, a straight line with slope 1, with y intercept -1 and a hole at (-4,-5)

OpenStudy (iwanttogotostanford):

ok! could you please help me with one more

OpenStudy (phi):

The hard part is factoring the quadratic

OpenStudy (iwanttogotostanford):

yeah true!

OpenStudy (iwanttogotostanford):

can you help me with one more please?

OpenStudy (phi):

please make a new post

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