F(x)=6(3)^-x+4

a.) describe in words how the graph of y=6(3)^x can be transformed to get the graph of y=f(x). So here you will say exactly how the graph of y=6(3)^x needs to be reflected and shifted to get the graph of y=f(x).

b.) find the coordinates of the y-intercept. Show all the steps in the calculation in details please.

c.) what is the equation of the horizontal asymptote ?

d.) describe the end behavior of the function by completing the statements below.

As x—> ___, f(x)—> ___
As x —> ___, f(x)—> ___

step-by-step explanation:

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:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

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.

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let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt

a

step-by-step explanation: