Question

Find the standard form of the equation of the parabola with the given characteristics.

Vertex: (4, 3);  focus: (6, 3)

Answer 1

Step 1:

The vertex is and focus is .

Here coordinates of vertex and focus are equal.

So the axis of the parabola is horizontal, passing through the points and .

The standard form of the parabola equation when the axis is horizontal, with vertex and  focus  is .

Where is the distance between vertex and focus.

.

Substitute and in standard form.

Solution :

The equation of the parabola is .