50 POINTS PLS HELP

Use the function f(x) = x2 − 6x + 3 and the graph of g(x) to determine the difference between the maximum value of g(x) and the minimum value of f(x). a parabola that opens down and passes through 0 comma 3, 3 comma 12, and 5 comma 8

3
6
12
18

18

Step-by-step explanation: pluging in -b/2a for first equation you get 3 plunging 3 in you get 6 solving for second equation you get -x^2+6x+3 pluging in -b/2a you get 3 then plugoing into equation you get 12 12-(-6)=18

I take it g(x) is given by this description:

a parabola that opens down and passes through 0 comma 3, 3 comma 12, and 5 comma 8

If we could see  the figure we'd known if (3,12) was the max they're talking about.  We'll have to check.

Opens down is a CDN, concave down negative, so a negative coefficient on the squared term.  Through (0,3), (3,12), (5,8)

g(x) = ax² + bx + c

3 = g(0) = c

g(x) = ax² + bx + 3

12=g(3) = 9a + 3b + 3

9 = 9a+3b

3 = 3a + b

8=g(5) = 25a + 5b +3

5 = 25a + 5b

1 = 5a + b

Subtracting the two equations '3=' and '1=' we get

2 = -2a

a = -1

b = 1 - 5a = 6

g(x) = -x² + 6x + 3 = -(x²  - 6x) + 3 = -(x² - 6x + 9) + 3 + 9 = 12-(x-3)²

and we see the max at x=3, y=12.  It would have been easier to show the graph or say that.

f(x) = x² - 6x + 3 = (x - 3)² + 3 - 9 = (x-3)² - 6

So this mas a minimum (the squared term can't get any less than zero) at x=3, y=-6

Distance between them is 12 - -6 = 18

18

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,

just get this app called photo math it should be able to do those