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
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
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