List the intercepts and test for symmetry.

$y^2=x+1$

Select the correct choice below and fill in any answer boxes within your choice.

A$.$ The intercept$($s$)$ is$/$are

$($Type an ordered pair. Use a comma to separate answers as needed.$)$

B$.$ There are no intercepts.

Is the graph of the equation symmetric with respect to the x$-$axis?

Yes

No

Is the graph of the equation$-$symmetric with respect to the $y-$axis?

Yes

No

Is the graph of the equation symmetric with respect to the origin?

Yes

No