determine whether the graph of each of the following equations is symmetric with respect to the x-axis,y-axis,origin the line y=x or none of these.
a)y= -8x

Question

determine whether the graph of each of the following equations is symmetric with respect to the x-axis,y-axis,origin the line y=x or none of these.
a)y= -8x

aum · Answer

In the function:
a) Replace x by -x.  Do you get the same equation?  If so, it is symmetric with respect to the y-axis.
b) Replace y by -y.  Do you get the same equation?  If so, it is symmetric with respect to the x-axis.
c) Replace x by -x and y by -y.  Do you get the same equation?  If so, it is symmetric with respect to the origin
d) a) Replace x by y and y by x.  Do you still get the same equation?  If so, it is symmetric with respect to the line y = x.