The graph shows that f(x)=(1/3)^x is translated horizontally and vertically to get the function g(x)=(1/3)^x-h + k. What is the value of k? -5 -3 3 5

-3

Step-by-step explanation:

I assume the graph is the one attached.

Comparing the points on each curve, f(x) is translated down 3 units and right 5 units to get g(x).  Therefore, the equation of g(x) is:

g(x) = (⅓)ˣ⁻⁵ − 3

So k = -3.

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:

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!