The maximum value of the function: f(x)= -5 x ^2 +30x-200 is?

Step-by-step explanation:

we are given a quadratic function

we want to figure out the minimum value of the function

to do so we need to figure out the minimum value of x in the case we can consider the following formula:

the given function is in the standard form i.e

so we acquire:

thus substitute:

simplify multiplication:

simply division:

plug in the value of minimum x to the given function:

simplify square:

simplify multiplication:

simplify:

hence,

the minimum value of the function is -155