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.
O The points form a curve.
12
10
8
-12-10-8-6420
P.²
-10
-12
♦
2 4
18 10 12

Answer 1

To generate the ordered pairs for the function y = 2x² - 1, substitute the given x values into the equation and evaluate y. The points form a curve.

Step-by-step explanation:

To generate the ordered pairs for the function y = 2x² - 1, we substitute the given values of x into the equation and evaluate y. Let's use the values x = -2, -1, 0, 1, and 2:

1. For x = -2, y = 2(-2)² - 1 = 8 - 1 = 7. So, the ordered pair is (-2, 7).
2. For x = -1, y = 2(-1)² - 1 = 2 - 1 = 1. The ordered pair is (-1, 1).
3. For x = 0, y = 2(0)² - 1 = 0 - 1 = -1. Thus, the ordered pair is (0, -1).
4. For x = 1, y = 2(1)² - 1 = 2 - 1 = 1. The ordered pair is (1, 1).
5. For x = 2, y = 2(2)² - 1 = 8 - 1 = 7. The ordered pair is (2, 7).

Graphing these ordered pairs will result in five points: (-2, 7), (-1, 1), (0, -1), (1, 1), and (2, 7). Connecting these points will form a curve.

Learn more about Generating ordered pairs for a quadratic function