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Verizon [17]
3 years ago
8

The parent function, f(x) = 5x, has been vertically compressed by a factor of one-half, shifted to the left three units and up t

wo units.
Mathematics
1 answer:
alexgriva [62]3 years ago
3 0
We are given the parent function, f(x) = 5x and is vertically compressed by a factor of 1/2, shifted to the right (3 units) and down two units. 

Vertical compression makes the function:

f(x) = (1/2) * 5x

shifted 3 units to the right makes the function:

f(x) = (1/2) * 5 (x+3)

shifted 2 units down makes the function:

f(x) = (1/2) *(5 (x+3)) - 2 

therefore, this function is the resulting function after performing all three adjustments of the parent function. First, compression, then shift to left/right, then shift up and down. 
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The value of a new car decreases by about 15% in the first year. How much will a car be worth after one year if its initial valu
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Answer:

(a)

$850.

(b)

$4250.

(c)

$4267.

Step-by-step explanation:

It is given that the value of a new car decreases by about 15% in the first year.

(a)

Now we are asked to find the cost of a car after one year; if we are given the initial value of car=$1000.

As the rate decreases by 15%.

that means we have to pay (100-15)% of the initial amount.

i.e. we have to pay 85% of the initial amount.

Hence the amount one has to pay= 85% of 1000.

which is equal to =85%×1000

⇒   =\dfrac{85}{100}\times 1000\\\\=85\times 10\\\\=850

Hence, the amount of car after one year when initaial amount is $1000 is:

$850.

(b)

if initial amount=$ 5000

then amount one has to pay after one year:

85\%\times 5000\\ \\=\dfrac{85}{100}\times 5000\\\\=4250

Hence, the amount of car after one year when initaial amount is $5000 is:

$4250.

(c)

if initial amount=$ 5020

then amount one has to pay after one year:

85\%\times 5020\\ \\=\dfrac{85}{100}\times 5020\\\\=4267

Hence, the amount of car after one year when initaial amount is $5020 is:

$4267.

7 0
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Step-by-step explanation:

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Answer:

a.

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