# How do you convert from vertex form to intercept form of #y-4=-(x-4)^2#?

##### 1 Answer

The representation of the original function in *intercept form* is

#### Explanation:

*Intercept form* of a quadratic function, by definition, is a form

It's called *intercept form* because **intercepts** the X-axis.

In other words,

Transform our expression into traditional functional form.

Now let's find the solutions of the equation

or, in a simpler representation,

Solutions are

Therefore, representation of the original function in *intercept form* is

The graph of this function follows (notice the points where it intercepts the X-axis are

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

The original form of this function *vertex form* because it tells the location of the *vertex* of the parabola that represents a graph of this quadratic function - point

It can be easily seen if it is written as

In this case, the rules of graph transformation tell us that the prototype function

These two transformations shift the vertex to point