Mathematics: When equation represents the function f(x)=(1.6)x after it has been translated 5 units up 9 units to the right?

When equation represents the function f(x)=(1.6)x

nautiannaharper59901

13.03.2022

$g(x)=(1.6)^{x-9}+5$

Step-by-step explanation:

Given: f(x)=(1.6)^x

The given function is f(x)=(1.6)^x .

It is exponential function because x as power of 1.6.

For left / right shift : change in x value

For right $x\rightarrow x-a$ For left $x\rightarrow x+a$

For up / down shift : change in f(x)

For up $f(x)\rightarrow f(x)+a$ For down $f(x)\rightarrow f(x)-a$

f(x)=(1.6)^x

Shift up 5 units

g(x)=f(x)+5

Shift 9 unit right

g(x)=f(x-9)+5

$g(x)=1.6^{x-9}+5$

Hence, The new function will be $g(x)=(1.6)^{x-9}+5$

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QueenNerdy889

14.08.2022

the monthly payment is $636.02

Step-by-step explanation:

The computation of the monthly amount deposited i.e. PMT is given below:

GIven that

NPER = 15 × 12 months = 180

RATE = 5% ÷ 12 = 0.4167%

PV = $0

FV = $170,000

based on the above information

The formula is shown below:

= PMT(RATE;NPER;PV;FV;TYPE)

AFter applying the above formula, the monthly payment is $636.02

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