Answer:
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