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

1 Answer
Nov 14, 2016

Answer:

(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))#