Answer:

Step-by-step explanation:
Vertex form of a quadratic is given by:

Where (h, k) is the vertex and <em>a</em> is the leading coefficient.
We are given that the vertex is (3, 1). Hence, <em>h</em> = 3 and <em>k </em>= 1. By substitution:

We are also given a point (2, -6). This means that when <em>x </em>= 2, <em>f(x)</em> = -6. Hence:

Solve for <em>a</em>. Subtract:

Simplify:

Therefore:

Hence, our quadratic is:
