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.
