Question

Find the vertex, focus, and directrix of the parabola. Use a graphing utility to graph the parabola.

x^2 + 4x + 6y - 2 = 0

Answer 1

Step 1:

The parabola is .

Take terms on one side and terms on other side.

Rewrite the expression.

Add 4 to each side.

Compare the above equation with .

and .

Here is negative then the parabola opens downward.

The vertex of the parabola is .

The focus of the parabola is

The directrix of the parabola is .

Step 2:

Graph:

Graph the parabola .

Solution :

The vertex of the parabola is .

The focus of the parabola is

The directrix of the parabola is .