How does the graph of f(x) = |x| compare with the graph of g(x) = 3|x| ? A. The graph of g is a vertical compression of the graph of f. B. The graph of g is a vertical stretch of the graph of f. C. The graph of g is a vertical translation 3 units up of the graph of f. D. The graph of g is a reflection of the graph of f over the x-axis.

16

step-by-step explanation:

2 x 40 = 80

80/5

= 16

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is symmetric about the line y = 120,000.

step-by-step explanation:

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: