The given equation is
[tex]49x^2+y^2=49[/tex]
The graph of the equation is
The intercepts are the point where the graph crosses the axis
The intercepts are
[tex](-1,0),(0,-7),(0,7),\mleft(1,0\mright)[/tex]
The given equation is the equation of ellipse, and we know that elithe plse is symsymmetrical
We know that ellipse is symmetric over both the x-axis and y-axis.
Yes, the graph is symmetric over the x-axis, since it does not change when we rote over the x-axis and reflect over the x-axis.
Yes, the graph is symmetric over the y-axis, since it does not change when we rote over the y-axis and reflect over the y-axis.
Yes, the graph is symmetric over the origin since it does not change when we rote over the origin and reflect over the origin.
