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Mathematics 20 Online
OpenStudy (anonymous):

Math questions

OpenStudy (mathmath333):

\(\huge f(x)=7(x-5)^\dfrac{-1}{2}-10\)

OpenStudy (mathmath333):

n is negative

OpenStudy (mathmath333):

not sure if odd or even

OpenStudy (mathmath333):

try to plot it here http://www.mathsisfun.com/data/function-grapher.php

OpenStudy (mathmath333):

yes it says \(1\) but the minus\((-)\) sign comes from \(\Large n=-2\) here because n is negative here

OpenStudy (mathmath333):

such graphs are identified using parent function here it is \(\bf \Large y=x^{-\frac{1}{2}}\)

OpenStudy (mathmath333):

|dw:1415612615270:dw|

OpenStudy (anonymous):

yes.

OpenStudy (mathmath333):

wait not sure if it is even or odd , but it is \(\large negative\) for sure

OpenStudy (anonymous):

medals please

OpenStudy (mathmath333):

both even and odd negative integers have similarity in graph

OpenStudy (mathmath333):

here the parent function would be \(\Large y=x^{\frac{1}{2}}\) |dw:1415624970822:dw|

OpenStudy (mathmath333):

its origin is \(\Large (-5,2)\) there fore the \(\Large x\) coordinate is shifted \(\Large5\) towards right \(\Large k=5\) therefore it would be \(\Large y=(x+5)^{\frac{1}{2}}+c\)

OpenStudy (mathmath333):

also it is shifted upwards \(\Large 2\) units therefore \(\Large C=2\) \(\Large y=a(x+5)^{\frac{1}{2}}+2\)

OpenStudy (mathmath333):

after trying \(\Large a=1,2,3\) u will find that \(\Large a=3\) here trying \(\Large a=-1,2,3..\) diverts the graph therefore our function will be \(\huge \tt y=3(x+5)^{\frac{1}{2}}+2\) so \(\huge\text { a is greater than zero here,a>0}\)

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