Question

Generate ordered pairs for the function y = 2x2 − 1 using x = −2, −1, 0, 1, 2. Graph the ordered pairs and describe the pattern.

Answer 1

[-2,7] [-1,1] [0,-1] [1,1] [2,7]

Explanation:

y = 2x^2 - 1 ; x = -2

y = 2(-2)^2 - 1 = 2(4) - 1 = 8 - 1 = 7

[-2,7]

y = 2(-1)^2 - 1 = 2(1) - 1 = 2 - 1 = 1

[-1,1]

y = 2(0)^2 - 1 = 0 - 1 = -1

[0,-1]

y = 2(1)^2 - 1 = 2 - 1 = 1

[1,1]

y = 2(2)^2 - 1 = 2(4) - 1 = 8 - 1 = 7

[2,7]