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

1 Answer
Nov 14, 2016

(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=0y=0.
If you are looking for the x-intercept, it is
color(white)("XXX")(hat(x),0)XXX(ˆx,0) where f(hat(x))=0f(ˆx)=0
color(white)("XXX")XXXi.e. you need to solve your function for when the function equals zero.

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