Question

Please help I'm so confused

Answer 1

The function f(x) = −x2 + 44x − 384 models the daily profit, in dollars, a shop makes for selling donut combos, where x is the number of combos sold and f(x) is the amount of profit.

Determine the vertex.

Answer 2

formula to find vertex is x=-b/2a

Answer 3

for the equation ax^2 + bx + c

(-b/2a, f(-b/2a)) is the vertex

Answer 4

ok so -44/2(-1)?

Answer 5

x-coordinate of vertex*

then substitute x for its value into f(x) function to find y-coordinate

Answer 6

ye

Answer 7

right!

Answer 8

-44/-2 = 22

Answer 9

now plug 22 into that equation again :)

Answer 10

f(22) = −(22^2) + 44(22) − 384
f(22) = -484 + 968 - 384
f(22) = 484 - 384
f(22) = 100

Answer 11

great tthat's y-coordinate of vertex done! good job!

Answer 12

Thank you so so much!!!!

Answer 13

np :=)

Answer 14

good job :)

Answer 15

thanks @TheSmartOne

Answer 16

anytime :)