Open Middle®
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.
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