# How do you find a quadratic function whose vertex is at the point (2,9) and has the given x intercepts (-2,0) & (7,0)?

##### 1 Answer

Given the intercepts, the quadratic must be of the form:

Now we know that

Divide both sides by

So

But there is a problem:

So the problem as stated seems to be incorrect in one of the following ways:

(1) One of the intercepts was given incorrectly. For example,

(2) The point

(3) The parabola is tilted from the vertical, described by a 2nd order equation in