Question

Find the vertex, focus, and directrix of the parabola and sketch its graph.

(x + 2)^2 = 8 (y - 3)

Answer 1

Step 1:

The parabola is .

Compare the above equation with .

and .

Here is positive then the parabola opens upward.

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 .

Graph of the parabola is