`y^2=-10x` Graph the equation. Identify the focus, directrix, and axis of symmetry of the parabola.

Expert Answers

An illustration of the letter 'A' in a speech bubbles

Let `y^2=4px`  be equation of parabola. Then equation of directrix is `x=-p` coordinates of focus are `(p,0)` and axis of symmetry is `x`-axis.

In this case equation of parabola is




Divide by 4 in order to obtain `p.`


Using the facts stated at the beginning we can write the equation of directrix and coordinates of focus.

Directrix is the line `x=5/2,` focus is the point `(-5/2,0)` and axis of symmetry is `x`-axis.                        

This image has been Flagged as inappropriate Click to unflag
Image (1 of 1)
Approved by eNotes Editorial Team