Question

Find the vertex, focus, and directrix of the parabola. Graph the equation.

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

Answer 1

Step 1:

The parabola is .

Take terms on one side and terms on other side.

Rewrite the expression.

.

Compare the above equation with .

and .

Here is negative then the parabola opens towards left.

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 .