Question

In problems$11-18$, find an equation of the conic described. Graph the equation by hand.

Parabola; focus at$(-2,0)$; directrix the line$x=2$

Short answer

The equation of the parabola is$y^2=-8x$

Step-by-step solution

Step 1. Given Information

The focus is at $(-2,0)$and the directrix line is$x=2$

Step 2. Calculation

Since the directrix line is $x=2$which is parallel to the y-axis then the equation of parabola having focus at $(-2,0)$is

$y^2=-4.2.x$

Step 3. Final answer

Equation of parabola is$y^2=-8x$

Step 4. Graph