Answer:
maximum: 3
Step-by-step explanation:
You want to know if the quadratic f(x) = -3(x -5)(x -3) has a minimum or a maximum, and what that extreme value is.
Leading coefficient
In this factored form the leading coefficient is the constant factor outside parentheses: -3. The fact that it is negative means the graph opens downward, so has an extreme value that is a maximum.
Maximum value
The other factors are zero for x=5 and for x=3. The x-value of the maximum is the average of these zeros: (5+3)/2 = 4.
The value of the function at x=4 is ...
f(4) = -3(4 -5)(4 -3) = (-3)(-1)(1) = 3
The maximum value is 3.
<95141404393>
