
Nathan B. answered 04/01/15
Tutor
5
(20)
Elementary and Algebraic skilled
x2 functions tend to look like a U-shape. What you are doing is essentially taking your x inputs, and multiplying it by itself:
1 * 1 = 1
2 * 2 = 4
3 * 3 = 9
4 * 4 = 16
5 * 5 = 25
6 * 6 = 36
And so on. The same hold true when you input negative numbers because, remember, a negative times a negative equals a positive. (Imagin this. You are facing north, then you turn around to face south (one negative). Then you start jumping backwards (the second negative). You are still moving North):
-1 * -1 = 1
-2 * -2 = 4
-3 * -3 = 9
-4 * -4 = 16
-5 * -5 = 25
-6 * -6 = 36
-2 * -2 = 4
-3 * -3 = 9
-4 * -4 = 16
-5 * -5 = 25
-6 * -6 = 36
I hope this helps you understand how a quadratic function works.