Verified Answer :

caylus

Hello,

p is the parameter of the parabola
y²=2px is his equation.
Focus F=(p/2,0)
Directrice x=-p/2

Here p/2=-6==>p=-12
Equation is y²=-24x

Answer:

\(y^{2}=-24x\)

Step-by-step explanation:

According to analytic geometry, a parabola is define as

\(y^{2}=4px\)

Where \(p\) is the coordinate of the focus.

So, the equation for this parabola is

\(y^{2}=4(-6)x\)

\(y^{2}=-24x\)

The negative sign indicates that the parabola opens leftward. The image attached shows the graph.

View image jajumonac

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