Question

This is the answer… but how do I SHOW it

Answer 1

The given equation is expressed as

y = - 3x^2

The first step is to substitute values of x into the equation and find corresponding values of y. We have

For x = - 3, y = - 3(- 3)^2 = - 3 * 9 = - 27

For x = - 2, y = - 3(- 2)^2 = - 3 * 4 = - 12

For x = - 1, y = - 3(- 1)^2 = - 3 * 1 = - 3

For x = 0, y = - 3(0)^2 = - 3 * 0 = 0

For x = 1, y = - 3(1)^2 = - 3 * 1 = - 3

For x = 2, y = - 3(2)^2 = - 3 * 4 = - 12

For x = 3, y = - 3(3)^2 = - 3 * 9 = - 27

Thus, the corresponding x and y coordinates that would be plotted on the graph are

(- 3, - 27)

(- 2, - 12)

(- 1, - 3)

(0, 0)

(1, - 3)

(2, - 12)

(3, - 27)

The graph is shown below