Question

Generate ordered pairs for y = x^2 - 9 using x = -4,-2,0,2 and 4. Identify the corresponding graph.

Answer 1

Given,

The equation is y=x^2-9.

The values of x are -4, -2, 0, 2, 4.

The odered pair are,

At x= - 4,

The value of y is,

$y=(-4)^2-9=7$

The ordered pair is (-4, 7).

At x= - 2,

The value of y is,

$y=(-2)^2-9=-5$

The ordered pair is (-2, -5).

At x= 0,

The value of y is,

$y=(0)^2-9=-9$

The ordered pair is (0, -9).

At x= 2,

The value of y is,

$y=(2)^2-9=-5$

The ordered pair is (2, -5).

At x= 4,

The value of y is,

$y=(4)^2-9=7$

The ordered pair is (4, 7).

The corresponding graph is,