Which of the following describes the transformations of g(x)=-(2)x+4-2 from the parent function f(x)=2x

function f(x) first reflect across x axis and then shifted 4 unit up and then 2 unit down.

Step-by-step explanation:

Given  : Transformations of g(x)=-(2)x+4-2 from the parent function f(x)=2x.

To find : Which of the following describes the transformations.

Solution : We have given

Parent function f(x) = 2x.

Transformed function  g(x) = -(2)x+4-2.

By the transformation rule : (1) reflection across x - axis f(x) →→ -f(x) .

(2) f(x)  →→ f(x) + k  it mean function shifted up by k unit.

(3) f(x)  →→ f(x) - k  it mean function shifted down by k unit.

Then

f(x) = 2x →→→→-(2)x+4-2.

It mean function f(x) first reflect across x axis and then shifted 4 unit up and then 2 unit down.

Therefore,  function f(x) first reflect across x axis and then shifted 4 unit up and then 2 unit down.

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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a. she will receive a refund of $278.

step-by-step explanation: