Answer:
Proportional
Step-by-step explanation:
Proportional functions can be written as
, where
is some constant of proportionality. Plugging in (x,y) pair into this function will yield a constant of proportionally of
and since this constant is maintained through all the coordinate pairs in the table, the table is proportional.
![\bf ~~~~~~~~~~~~\textit{function transformations} \\\\\\ % templates f(x)=Asin(Bx+C)+D \\\\ f(x)=Acos(Bx+C)+D\\\\ f(x)=Atan(Bx+C)+D \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \bullet \textit{ stretches or shrinks}\\ ~~~~~~\textit{horizontally by amplitude } A\cdot B\\\\ \bullet \textit{ flips it upside-down if }A\textit{ is negative}\\ ~~~~~~\textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if }B\textit{ is negative}\\ ~~~~~~\textit{reflection over the y-axis}](https://tex.z-dn.net/?f=%5Cbf%20~~~~~~~~~~~~%5Ctextit%7Bfunction%20transformations%7D%20%5C%5C%5C%5C%5C%5C%20%25%20templates%20f%28x%29%3DAsin%28Bx%2BC%29%2BD%20%5C%5C%5C%5C%20f%28x%29%3DAcos%28Bx%2BC%29%2BD%5C%5C%5C%5C%20f%28x%29%3DAtan%28Bx%2BC%29%2BD%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20%5Cbullet%20%5Ctextit%7B%20stretches%20or%20shrinks%7D%5C%5C%20~~~~~~%5Ctextit%7Bhorizontally%20by%20amplitude%20%7D%20A%5Ccdot%20B%5C%5C%5C%5C%20%5Cbullet%20%5Ctextit%7B%20flips%20it%20upside-down%20if%20%7DA%5Ctextit%7B%20is%20negative%7D%5C%5C%20~~~~~~%5Ctextit%7Breflection%20over%20the%20x-axis%7D%20%5C%5C%5C%5C%20%5Cbullet%20%5Ctextit%7B%20flips%20it%20sideways%20if%20%7DB%5Ctextit%7B%20is%20negative%7D%5C%5C%20~~~~~~%5Ctextit%7Breflection%20over%20the%20y-axis%7D)

with that template in mind, let's take a peek
![\bf f(x)=2sin(x+\pi )-4\implies f(x)=\stackrel{A}{2}sin(\stackrel{B}{1}x\stackrel{C}{+\pi })\stackrel{D}{-4} \\\\[-0.35em] ~\dotfill\\\\ \textit{Amplitude}\implies 2 \\\\\\ \stackrel{phase}{\textit{Horizontal Shift}}\implies \cfrac{C}{B}\implies \cfrac{+\pi }{1}\implies +\pi \impliedby \pi \textit{ units to the left} \\\\\\ \textit{Period}\implies \cfrac{2\pi }{B}\implies \cfrac{2\pi }{1}\implies 2\pi \\\\\\ \textit{Vertical Shift}\implies D\implies -4\impliedby \textit{4 units downwards}](https://tex.z-dn.net/?f=%5Cbf%20f%28x%29%3D2sin%28x%2B%5Cpi%20%29-4%5Cimplies%20f%28x%29%3D%5Cstackrel%7BA%7D%7B2%7Dsin%28%5Cstackrel%7BB%7D%7B1%7Dx%5Cstackrel%7BC%7D%7B%2B%5Cpi%20%7D%29%5Cstackrel%7BD%7D%7B-4%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ctextit%7BAmplitude%7D%5Cimplies%202%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7Bphase%7D%7B%5Ctextit%7BHorizontal%20Shift%7D%7D%5Cimplies%20%5Ccfrac%7BC%7D%7BB%7D%5Cimplies%20%5Ccfrac%7B%2B%5Cpi%20%7D%7B1%7D%5Cimplies%20%2B%5Cpi%20%5Cimpliedby%20%5Cpi%20%5Ctextit%7B%20units%20to%20the%20left%7D%20%5C%5C%5C%5C%5C%5C%20%5Ctextit%7BPeriod%7D%5Cimplies%20%5Ccfrac%7B2%5Cpi%20%7D%7BB%7D%5Cimplies%20%5Ccfrac%7B2%5Cpi%20%7D%7B1%7D%5Cimplies%202%5Cpi%20%5C%5C%5C%5C%5C%5C%20%5Ctextit%7BVertical%20Shift%7D%5Cimplies%20D%5Cimplies%20-4%5Cimpliedby%20%5Ctextit%7B4%20units%20downwards%7D)
now, the midline for the parent function of sin(x) is simply the x-axis, namely y = 0.
this shifted/transformed version of it, has a vertical shift of 4 units down, so the midline moved from y = 0, to y = -4.
Answer:

Step-by-step explanation:
Given,
Cost price of three thermos flask = 1080
Selling price of each thermos flask = 400
<u>Finding </u><u>the </u><u>selling </u><u>price </u><u>of </u><u>three </u><u>thermos </u><u>flask</u>
Since, the cost of 3 thermos flask is more than that of 1 thermos flask. So, the cost of 1 thermos flask is multiplied by 3 ( i.e 400 × 3 = 1200 )
Here, the selling price is greater than cost price.
So, there is profit.
And we know that,

⇒
⇒
Profit amount = 120
<u>Finding </u><u>the </u><u>profit </u><u>percentage</u>

⇒
⇒
Hope I helped!
Best regards!!
121^4-49
(11^2+7)(11^2-7) 1. 121. 49
11. × 11. 7 × 7
Answer:
2.0806 × 10²
Step-by-step explanation: