# How do you find two quadratic function one that opens up and one that opens downward whose graphs have intercepts (-1,0), (3,0)?

##### 1 Answer

Dec 31, 2016

Please see the explanation.

#### Explanation:

Because the quadratic function is zero, when

where k is an unknown constant that one can use to force the quadratic to pass through a point with a non-zero y coordinate.

If

If

I will multiply the factors:

I will chose

Now I will choose

Equation [1] opens upward and equation [2] opens downward; both have the same intercepts,