Question

Hello!I need some assistance with this precalculus question posted in the image below.

Answer 1

The given equation is

`49x^2+y^2=49`

The graph of the equation is

The intercepts are the point where the graph crosses the axis

The intercepts are

`(-1,0),(0,-7),(0,7),\mleft(1,0\mright)`

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.