Determine the quadratic function f whose graph is given. The vertex is (1,-3) and y-intercept is -2

Vertex form:

Standard form:

Step-by-step explanation:

A quadratic function in vertex form is where is the vertex.

We are given .

Let's plug that in:

.

Now let's find .

We will use the -intercept to find .

So the function in vertex form is:

.

In standard form, we will have to multiply and combine any like terms.

Let's do that: