# How do you find two quadratic function one that opens up and one that opens downward whose graphs have intercepts (0,0), (10,0)?

##### 1 Answer

Jan 13, 2017

#f_"up"(x) = x^2-10x#

#f_"down"(x) = -x^2+10x#

#### Explanation:

Any quadratic function with these

#f(x) = ax(x-10) = ax^2-10ax" "# for some constant#a != 0#

It must take this form in order that

If

So we can use

#f_"up"(x) = x^2-10x#

#f_"down"(x) = -x^2+10x#