how do i test the symmetry of the equation y=X^2-2 ?
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OpenStudy (anonymous):
is function even or odd?
OpenStudy (anonymous):
its even
OpenStudy (anonymous):
really?
OpenStudy (anonymous):
f(-x)=(-x^2)-2
OpenStudy (anonymous):
yes it is even correct
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OpenStudy (anonymous):
so its symmetrical about y axis
OpenStudy (anonymous):
that was ur test
OpenStudy (anonymous):
oh it says i need to test for the symetrys by settin xto-x for y teest, yto -y for x test and both - for origin but which one is my answer
OpenStudy (anonymous):
A graph will have symmetry about the x-axis if we get an equivalent equation when all the y’s are replaced with y.
A graph will have symmetry about the y-axis if we get an equivalent equation when all the x’s are replaced with x.
A graph will have symmetry about the origin if we get an equivalent equation when all the y’s are replaced with y and all the x’s are replaced with x
OpenStudy (anonymous):
setting x to -x is answer
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OpenStudy (anonymous):
when looking at the ex equation i change it -y=X^-2 to test for x axis symetry then wat?
OpenStudy (anonymous):
no change y to f(x) as then u can set it to f(-x)=(-x)^2-2
OpenStudy (anonymous):
making equation even the same as original f(x)=x^2-2
OpenStudy (anonymous):
u lost me lol
OpenStudy (anonymous):
book says graph symmetric with respect to y axis if replacing x by -x wields equiv equation
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