The function g(x) = 2^x. the function f(x) = 2^x+k and k < 0. which of the following statements is true? a) the graph of f(x) is shifted k units to the left of the graph of g(x). b) the graph of f(x) is shifted k units to the right of the graph of g(x). c) the graph of f(x) is shifted k units above the graph of g(x). d) the graph of f(x) is shifted k units below the graph of g(x).

Option D)

Step-by-step explanation:

If the graph of the function  represents the transformations made to the graph of  then, by definition:

If  the graph moves vertically b units up

If the graph moves vertically b units down

If  the graph moves horizontally h units to the left

If the graph moves horizontally h units to the rigth

In this problem we have the function and our parent function is

therefore it is true that  and

Then "The graph of f(x) is shifted k units below the graph of g(x)".

The answer is Option D)

_________________________________________________

Note:

If the function are:

Then and . This means that the function f(x) shifts k units to the right of the function g(x)

And the answer would be the option B)

B) The graph of f(x) is shifted k units to the right of the graph of g(x).

Step-by-step explanation:

We given the functions and where .

We know that horizontal depends on the value of x and are when

when graph is shifted to left; and

when graph is shifted to right.

Given the above functions, when k is considered positive then f(x) becomes .

Therefore, the graph of f(x) is shifted k units to the right of the graph of g(x).

this story was prepared by jim

mccullaugh in los angeles and

al stewart in new york.

new york the colossal success of "top gun" appears to have dramatically altered madison avenue's

perception of corporate sponsorship

of home video projects.

the paramount home video re- lease, featuring a 60- second diet

pepsi spot, was by no means the

first prerecorded video to carry an advertiser's plug, but it was the

first major theatrical release to do so. in the aftermath of the title's

success, paramount is widely ex- pected to ink a similar deal for

"crocodile dundee" or "star trek

iv" or both.

corporate america's new attraccds push british

recording sales

to 19% gain

london fueled by the compact

disk boom, the value of u.k. manu- facturer shipments of recordings

rose 19% in the 12 -month period ended march 1987, according to the

british phonographic industry.

total value of u.k. shipments for

the period was $755 million for all

configurations. (all value figures

are based on an exchange rate of

$1.68 to the pound sterling.)

cd sales totaled 10.7 million units

worth $121.3 million- compared

with 3.7 million units worth $39.5

million in the prior 12 months -and

accounted for two -thirds of the

overall gain in trade value. at present growth rates, says the bpi, cd

sales for calendar 1987 will reach 20

(continued on page 79)

step-by-step explanation:

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step-by-step explanation: