# How do you write a quadratic equation with Vertex: (6, 5); point: (0, -4)?

##### 1 Answer

#### Explanation:

We are given the following details:

Vertex is at

One Point on the Parabola =

We must write a Quadratic Equation using the given details.

Standard Form =

Vertex Form =

Vertex Form is appropriate for our question. Hence we will use this form to solve the problem.

Our Vertex is at

We are also given a Point (0, -4)

Hence, x = 0; y = -4

Substitute these values in

If we simplify for a, we get

So, our f(x) now can be written as

We can also rewrite this in it's simplified form as follows:

graph{-(1/4)x^2 + 3x - 4 [-10, 10, -5, 5]}