You've been given the values of x. To find y, just substitute just in the value of x into the function. The initial equation is
[tex]y = - {2x}^{2} \times 3[/tex]
Therefore, for each value of x, anywhere you see x in the above function, just replace the value given with it.
The first one
[tex] { - 2 \times ( - 2)}^{2} \times 3 = y\\ \\ since \: - {2x}^{2} \times 3 = y[/tex]
Simplify:
-2 × 4 × 3 = y
-8 × 3 = y
-24 = y
(x, y) = (-2,-24)
The second one
-2 × (-1^2) × 3 = y
-2 × 1 × 3 = y
-6 = y
(x, y) = (-1, - 6)
The third one
-2 × (0^2) × 3 = y
-2 × 0 × 3 = y
0 = y
The fourth one
-2 × (1^2) × 3 = y
-2 × 1 × 3 = y
-6 = y
The fifth one
-2 × (2^2) × 3 = y
-2 × 4 × 3 = y
-24 = y
Hence, the difference (if you plot those) is that you'll get a 'U' shape (also called a parabola). In the other, you'll get a straight line.
