Question

Suppose that the demand function for a commodity is given by the equation 3p² - 2700 = 0. Find all x-intercepts of this curve and graph the function using symmetry, shifting, stretching, compressing, and/or reflecting as necessary.

Answer 1

Demand function is:

For find x intercept we need to make it equal to zero.

So xintercept at P = 30 or P = -30

Let's Principal function is:

So for finding 3*P^2 , we can stretch the graph in y direction by 3 units.

Them we shift down the graph in y direction by 2700 unit.

So graph of demand function is given below: