Answer:
The values of y for each value of x are:
[tex]x = -3, y =2[/tex]
[tex]x = -2\: , y =-2[/tex]
[tex]x = -1\: , y =-4[/tex].
[tex]x = 0\: , y =-4[/tex]
[tex]x = 1\: , y = -2[/tex].
[tex]x = 2\: , y =2[/tex]
[tex]x = 3\: , y = 8[/tex]
Step-by-step explanation:
We have all the values of x, they are from -3 to 3 passing for 0.
Now, we know that y is a quadratic function (y=x²+x+4)
Therefore, we just need to put each value of x into the quadratic equation to find each y value.
When:
[tex]x = -3, y = (-3)^2+(-3)-4=2[/tex]
[tex]x = -3\: , y = 2[/tex]
We can do this for all values of x, so we will have:
[tex]x = -2\: , y = (-2)^2+(-2)-4=-2[/tex]
[tex]x = -1\: , y = (-1)^2+(-1)-4=-4[/tex].
[tex]x = 0\: , y = (0)^2+(0)-4=-4[/tex]
[tex]x = 1\: , y = (1)^2+(1)-4=-2[/tex].
[tex]x = 2\: , y = (2)^2+(2)-4=2[/tex]
[tex]x = 3\: , y = (3)^2+(3)-4=8[/tex]
I hope it helps you!
