# How do you write the equation of the parabola in vertex form given vertex (2,-1) and a point (0,3)?

##### 1 Answer

Mar 2, 2016

You must plug these points into their respective parameters in vertex form.

#### Explanation:

Vertex form is of the form

Your point (0,3) should be plugged into (x, y). Your vertex (2, -1) should be imputed as (p, q). As a result, we are solving for a.

The equation is

**Practice exercises:**

- The following graph shows a quadratic function. Find its equation.

graph{y = 2x^2 + 4x - 6 [-20, 20, -10, 10]}

- A graph has a vertex at (-2,4) and passes through (-7,-6). Find its equation.

**Challenge problem:**

Find the equation of the quadratic function that passes through