Question

make a cubic graph of y=x³-2x²​

Answer 1

Step-by-step explanation:

Let y = f(x) or, y=x

3

−2x

2

.

The following table gives values of y for various values of x:

x -3 - 2 -1 0 1 2 3 4

y=x

3

−2x

2

-45 -16 -3 0 -1 0 9 32

Thus, the curve y=x

3

−2x

2

passes through the points (-3, -45), (-2, -16), (-1,-3), (0,0), (1, -1), (2,0), (3,9), (4,32) etc. Plotting these points on a graph paper and drawing a free hand smooth curve passing through these points, we obtain the graph of the polynomial as shown in Figure.