A parabola can be drawn given a focus of (8, 6) and a directrix of x=4 Write the equation of the parabola in any form.

The equation of the parabola in vertex form is .

Step-by-step explanation:

Since the directrix is of the , then the equation of the parabola in vertex form is of the form:

(1)

Where:

- Dependent variable.

- Independent variable.

- Least distance between focus and directrix.

, - Coordinate of the vertex.

The least distance between focus and directrix is determined by Pythagorean Theorem:

Now, we determine the location of the vertex by the following vectorial formula:

(2)

If we know that and , then the location of the vertex is:

And the equation of the parabola in vertex form is .

d is correct

step-by-step explanation:

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