Question

HELP ME PLEASE
The function f(x) = −x2 + 48x − 432 models the profit, in dollars, a game developer makes for selling a new game, where x is the number of games sold and f(x) is the amount of profit.

Part A: Determine the vertex. What does this calculation mean in the context of the problem? (5 points)
Part B: Determine the x-intercepts. What do these values mean in the context of the problem? (5 points)

Answer 1

@laughoutloud

Answer 2

Use \(\sf -\dfrac{b}{2a}\) to find the x-value of the vertex.

Answer 3

The function is in the form of \(\sf ax^2 + bx + c\).

Answer 4

do you know how to complete the square to put the function in vertex form?
a(x-h)^2 + k = 0
h = -b/(2a)
the vertex will be (h, k)

Answer 5

ok

Answer 6

@triciaal We don't nee it in vertex form to use \(\sf -\dfrac{b}{2a}\)

Answer 7

need*

Answer 8

Alright .-.

Answer 9

the vertex is at is the highest or lowest y-value
when a is negative the parabola opens down so your vertex is at the maximum y

Answer 10

@iGreen -b/(2a) is your h

Answer 11

\(\sf \color{red}ax^2 + \color{blue}bx + \color{lime} c\)
\(\sf \color{red}{-1}x^2 + \color{blue}{48}x \color{lime}{- 432}\)

Answer 12

Yes, then after we find 'h', we can plug it back into \(\sf -x^2 + 48x - 432\).

Answer 13

To find 'k'

Answer 14

OK :D

Answer 15

Yep, just plug in the values into \(\sf -\dfrac{b}{2a}\) first.

Answer 16

@DarkMoonZ do you have any questions about my response?

Answer 17

No I have none thanks guys

Answer 18

Triciall give Igreen a medal for me XD

Answer 19

There's no need.

If you want, you can tag us back to check your work.

Answer 20

Ok thanks