Write the equation of the parabola in vertex form.
vertex (3,1), point (2, - 6)
f(x) =?

Step-by-step explanation:

Vertex form of a quadratic is given by:

Where (h, k) is the vertex and a is the leading coefficient.

We are given that the vertex is (3, 1). Hence, h = 3 and k = 1. By substitution:

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

Solve for a. Subtract:

Simplify:

Therefore:

Hence, our quadratic is:

step-by-step explanation:

the multiplicative inverse of a fraction a/b is b/a. for the multiplicative inverse of a real number, divide 1 by the number. for example, the reciprocal of 5 is one fifth 1/5 or 0.2, and the reciprocal of 0.25 is 1 divided by 0.25, or 4.