# What is the equation of the parabola that has a vertex at # (7, 9) # and passes through point # (0, 2) #?

##### 1 Answer

#### Explanation:

This problem requires that we understand how a function can be shifted around and stretched to meet particular parameters. In this case, our basic function is

In the most basic situation:

But by altering these constants, we can control the shape and position of our parabola. We will start with the vertex. Since we know it needs to be at

Obviously

When we add

So our parabola so far is:

But we need to stretch it to pass through point

That means our parabola will have this equation: