The standard quadratic equation in canonic form is
where (h,k) is the vertex.
when a<0, parabola is concave down.
for Cohen, h=120, k=24, so
However, we also know that y=0 at x=0 and x=120, so
Equate the two forms of f(x):
Since if the two sides are equivalent, the coefficients of all powers are equal. This means:
dom f(x)= R
range f(x) = (-∞,24]
I'll leave part (C) to you as an exercise.
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