You will compare profit functions for different companies from selling smart phones. X-axis = Number of Smart Phones sold (in millions) = g (for galaxy phone)

y-axis = Profit (in millions of dollars) = P(g)

The line above shows the profit from selling tablets for the Samsung Galaxy Phone

1a. Label the line as “Samsung”, the x-axis and the y-axis.

b. Describe the key features of the graph. Key features include concavity, x and y-intercepts and the vertex.

c. Is the vertex a max. or min. point? Describe what the vertex means in terms of this problem.

d. Create an equation in completed the square form. Then translate this to standard form.

Standard form  f(x) =

Step-by-step explanation:

n

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).