Find the equation of the parabola which has the given vertex V, which passes through the given point P, and which has the specified axis of symmetry. V(4,−2),P(2,14), vertical axis of symmetry.

or

Step-by-step explanation:

Given

--- vertex

--- point

Required

The equation of the parabola

The equation of the parabola is of the form

Where

---- the vertex

So, we have:

In , we have:

Substitute in

Collect like terms

Divide both sides by 4

So:

becomes

Open bracket to express the equation in standard form