Question

What's the difference plz tell me

Answer 1

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

`y = - {2x}^(2) * 3`
Therefore, for each value of x, anywhere you see x in the above function, just replace the value given with it.

The first one

`{ - 2 * ( - 2)}^(2) * 3 = y\\ \\ since \: - {2x}^(2) * 3 = y`
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.

Answer 2

The differences is that, a quadratic function is in the shape of a 'U'

while as a linear function is just one line. (or 2 if there's an intersection or not, still a straight line)