Answer:
See attachment for graph
Step-by-step explanation:
Given
[tex]y = x^2 - 3[/tex]
Required
The graph of the equation
First, we determine the range of y
[tex]x = -3[/tex]
[tex]y = x^2 - 3 \to y = (-3)^2 - 3 = 6[/tex]
[tex](-3,6)[/tex]
[tex]x = -2[/tex]
[tex]y = (-2)^2 - 3 = 1[/tex]
[tex](-2,1)[/tex]
[tex]x = -1[/tex]
[tex]y = (-1)^2 - 3 = -2[/tex]
[tex](-1,-2)[/tex]
[tex]x=0[/tex]
[tex]y = 0^2 - 3 = -3[/tex]
[tex](0,-3)[/tex]
[tex]x = 1[/tex]
[tex]y= 1^2 - 3 = -2[/tex]
[tex](1,-2)[/tex]
[tex]x = 2[/tex]
[tex]y =2^2 - 3 = 1[/tex]
[tex](2,1)[/tex]
[tex]x = 3[/tex]
[tex]y = 3^2 - 3 = 6[/tex]
[tex](3,6)[/tex]
See attachment for graph
