In graphs and functions i need help with one example please?

it says plot each point on graph and then plot the points that are symmetric to the given point with respect t the (a) x-axis (b)y-axis and (c) origin. for example (-6,1)


how do you do this (not the plotting!) but plotting the points that are symmetric....what does that mean?!

In graphs and functions i need help with one example please?
Anytime a plot is needed that is symmetric around an axis or line or point, Treat the object of symmetry like a mirror image. For example, the point (-6,1) symmetric equivalent around the y-axis is (6,1). For the x-axis, it is (-6,-1). Around the orgin is (6,-1).
Reply:Symmetric means that when you "fold" over that axis the point will be on the same spots, and with respect to the origin, then you just change the sign... I hope you understand that. For example, for the point (-6,1), the symmetric point with respect to x-axis will be (-6,-1); y-axis (6,1) and the origin


(6,-1)...





I hope I was helpfull and good luck!
Reply:Take point (a, b).





The point symmetric to it with respect to the x axis is (a, -b).





The point symmetric with respect to the y axis is (-a, b).





The point symmetric with respect to the origin is (-a, -b).





So, for (-6, 1), you've got:





(a) (-6, -1)





(b) (6, 1)





(c) (6, -1)