Given the vertex: (-5, -3) and a point from the graph: (-4, —5), write the equation of the parabola in Vertex Form.

Step-by-step explanation:

Equation of the Quadratic Function

The vertex form of the quadratic function has the following equation:

Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.

The given vertex is (-5,-3), thus:

We need to find the value of a. We use the point (-4,-5):

Solving:

The complete equation of the parabola is: