# How do you determine whether the graph of #x+y^2=1# is symmetric with respect to the x axis, y axis, the line y=x or y=-x, or none of these?

##### 2 Answers

#### Explanation:

Let's look at the graph of

graph{(x+y^2-1)(y-x)(y+x)=0 [-10, 10, -5, 5]}

Clearly,

The curve is only symmetric w.r.t.

#### Explanation:

If a graph is symmetric w.r.t.

As

an hence

For being symmetric w.r.t.

For being symmetric w.r.t.

For being symmetric w.r.t.

graph{x+y^2=1 [-14.71, 5.29, -4.8, 5.2]}