**Answer:**

.

**Step-by-step explanation:**

The **vertex form** of a quadratic function is in the form

,

where

- is a coefficient that needs to be found, and
- is the
**vertex**of this function.

In this question, the vertex of this quadratic function is at the point . In other words, and . Substitute these value into the general equation:

.

Simplify to obtain:

.

The only missing piece here is the coefficient . That’s likely why the problem gave , yet another point on this quadratic function. If this function indeed contains the point , should be equal to when . That is:

.

Solve this equation for :

.

Hence the equation of the quadratic function in its vertex form:

.