How do you find the coordinates for the parabola given by the equation 3xsquared-x-1?

Answer 1

4

Answer 2

The equation for a parabola is y = 3x2 - x - 1

To find the coordinates, replace x with a number from a select range say -5 to +5 and determine the corresponding value for y.

When x = -5 : y = 75 +5 - 1 = 79

x = -4 : y = 48 + 4 - 1 = 51

x = -3 : y = 27 + 3 - 1 = 29

x = -2 : y = 12 + 2 - 1 = 13

x = -1 : y = 3 + 1 - 1 = 3

x = 0 : y = -1

x = 1 : y = 3 - 1 - 1 = 1

x = 2 : y = 12 - 2 + 1 = 11

x = 3 : y = 27 - 3 - 1 = 23

x = 4 : y = 48 - 4 - 1 = 43

x = 5 : y = 75 - 5 - 1 = 69

Plot the x, y coordinates and join the points with a smooth curve.