Directions: Using the integers -9 to 9, at most one time each, place an integer in each box to create a function with the corresponding range and roots.
![](https://www.openmiddle.com/wp-content/uploads/2021/05/trinomialfunction.png)
Hint
How do each of the values you can choose affect the values of the roots and range?
Answer
There are many possible answers but all will have a minimum and point upwards including:
y = 1x^2 + 6x + 8
roots: x = -4 and x = -2
range: y ≥ -1
y = 1x^2 + 6x + 5
roots: x = -5 and x = -1
range: y ≥ -4
Source: Robert Kaplinsky