Question

How do you find the x and y axes of a function without the graph?

Answer 1

(see below)

Explanation:

It is unclear what you are looking for here (especially since this appears under "Rotations of a Conic Section").

The X-axis is the collection of points for which `y=0`.
If you are looking for the x-intercept, it is
`color(white)("XXX")(hat(x),0)` where `f(hat(x))=0`
`color(white)("XXX")`i.e. you need to solve your function for when the function equals zero.

The Y-axis is the collection of points for which `x=0`
If you are looking for the y-intercept, it is
`color(white)("XXX")(0,f(0))`