Step 1:

The parabola equation is .

Since the  term is squared , the parabola is horizontal.

Standard form of horizontal parabola is .

where , is vertex , focus at and directrix is .

Convert the equation into standard form by using completing square method.

To change the expression into a perfect square trinomial add (half the coefficient)² to each side of the equation.

Compare with .

Vertex .

.

, so the parabola opens to the right.

Focus

Focus

Directrix

Directrix

Axis of symmetry

Step 2:

Draw the coordinate plane.

Plot the vertex, focus of parabola.

Draw the axis of symmetry and directrix.

Connect the plotted points with smooth curve.

.

Solution:

Vertex :

Focus

Directrix

Graph of :

.