y= 1

Question

______
x^2+9

What type of symmetry?

Answer 1

did you mean?

y = 1/(x^2 + 9)

since it doesn't matter if you use +x or -x,
we have symmetry about the y-axis

Answer 2

If you meant y = 1/(x^2 + 9), then Replace x with −x and y with −y to check if there is x−axis,y−axis, or origin symmetry.
So,Not symmetric to the x-axis,
Not symmetric to the y-axis, and
Not symmetric to the origin.
Hoped it helped!

Answer 3

Observe the symmetry about the y-axis

http://www.wolframalpha.com/input/?i=y+%3D+1%2F(x%5E2+%2B+9)