Question

find seven ordered pairs to the equation ( y = x^2 - 7 ). then determine its graph.

Explanation:

Step1: Choose x values

Let's choose x values: -3, -2, -1, 0, 1, 2, 3.

Step2: Calculate y for x=-3

$y = (-3)^2 - 7 = 9 - 7 = 2$

Step3: Calculate y for x=-2

$y = (-2)^2 - 7 = 4 - 7 = -3$

Step4: Calculate y for x=-1

$y = (-1)^2 - 7 = 1 - 7 = -6$

Step5: Calculate y for x=0

$y = 0^2 - 7 = 0 - 7 = -7$

Step6: Calculate y for x=1

$y = 1^2 - 7 = 1 - 7 = -6$

Step7: Calculate y for x=2

$y = 2^2 - 7 = 4 - 7 = -3$

Step8: Calculate y for x=3

$y = 3^2 - 7 = 9 - 7 = 2$

Answer:

The seven ordered pairs are (-3, 2), (-2, -3), (-1, -6), (0, -7), (1, -6), (2, -3), (3, 2)