Question

Helppppp!!!Write a function in any form that would match the graph shown below.

Answer 1

f(x) = 1.2 (x - 1)^2 (x - 5)^2

Explanation:

The curve touches x-axis at x = 1 and 5

so the function is like f(x) = C(x-1)^2*(x-5)^2

where C is a constant

To determine C, note the y-intercept is 30 which is f(0)

f(0) = C*1*25 = 25C = 30

so C = 30/25 = 6/5=1.2

the f(x) = 1.2 (x - 1)^2 (x - 5)^2