Question

Gordon is evaluating some stocks he wants to purchase. You can see the function of the stock price below. The variable x represents days.

Stock A B C
Price f(x) = 25(1.08)x
x f(x)
0 22.00
1 21.56
2 21.13 The initial price of this stock is $30, but it has been increasing 4% each day.
Create the price function for Stock D. It should have the second lowest starting price and the second highest rate of growth. Using complete sentences, justify that your function meets these requirements.
Graph the price function for Stock D. Explain the key features of the graph with complete sentences.

Answer 1

A recent drop in sales has affected Stock D with the function g(x) = –6. Explain to Gordon how Stock D’s new price function, f(x) + g(x), will be created. Graph f(x) + g(x).
Gordon wants to fully understand what kind of changes could affect the money he is investing. Using complete sentences, explain the effect of the following transformations. Graph them and f(x) on the same coordinate plane.
f(x + 2)
f(–x)
f(x) + 3

Answer 2

@ganeshie8 @TheSmartOne @pooja195 @poopsiedoodle @mathmate @uri @iambatman @inkyvoyd

Answer 3

Start by finding the starting price and growth rates of given stocks A, B, C

Answer 4

sTOCK A 25

Answer 5

STOCK B 22

Answer 6

STOCK C 30

Answer 7

idk dor stock d

Answer 8

we need to cook up stock D according to the given condition

Answer 9

ok i think it is the second lowest

Answer 10

it must have the second lowest starting price, so how about making the starting price = `23` for stock D ?

Answer 11

ok

Answer 12

what about growth rates of given stocks ?

Answer 13

stock a 8 percent stock b idk stock c 4 percent and stock d 6 percent?

Answer 14

yes 6% looks good for stock D

Answer 15

ok how about for stock b

Answer 16

you're ready to create the price function for stock D

Answer 17

looks like stick B is decreaesing so it must be having the lowest growth rate

Answer 18

2 percent

Answer 19

@ganeshie8

Answer 20

yes can you write a function for stock D ?

Answer 21

yyes 6%

Answer 22

for stock D, does below work ?\[\large f(x) = 23(1.06)^x\]

Answer 23

yes

Answer 24

good, we are done with part 1

Answer 25

ready to start second part @ganeshie8

Answer 26

@ganeshie8

Answer 27

@pooja195 @iambatman

Answer 28

i am on part 2

Answer 29

@cwrw238

Answer 30

the newprice function for stock D f(x) + g(x) will be 23(1.06)^x - 6

Answer 31

sorry can't stay gotta go right now

Answer 32

@hartn @TuringTest @mathslover @mathmate

Answer 33

@hartnn

Answer 34

@uri @bohotness

Answer 35

@shrutipande9

Answer 36

sorry hun...i dont know how to do this @pooja195 can you help?

Answer 37

i wasnt sure about this either =/

Answer 38

ok :(

Answer 39

@ganeshie8

Answer 40

dont do that...then he wont help...cuz your spamming his name

Answer 41

OK

Answer 42

@triciaal @Loser66

Answer 43

@ganeshie8

Answer 44

@Loser66

Answer 45

for part 2 use desmos to graph
https://www.desmos.com/calculator/ut2tsxchvg

Answer 46

idk how to do that

Answer 47

click that link

Answer 48

ok is that the graph for part 2???

Answer 49

yes

`Graph the price function for Stock D. Explain the key features of the graph with complete sentences.`

see if you can identify any key features like y intercept etc.. and explain whatever you can

Answer 50

umm may you help me w. that 2

Answer 51

what is the y -intercept? and what does it represent

Answer 52

@ganeshie8

Answer 53

look at the graph
https://www.desmos.com/calculator/lwe0xxrwan

it seems the y intercept is (0, 23) ?
looks it represents the starting value of stock D ?

Answer 54

ok so that is what it represents the starting value for stock d? @ganeshie8

Answer 55

yes

Answer 56

see if you can finish off the next part :
`A recent drop in sales has affected Stock D with the function g(x) = -6. Explain to Gordon how Stock D s new price function, f(x) + g(x), will be created. Graph f(x) + g(x).`

Answer 57

wait is that growth a function and what is the rate of the growth

Answer 58

@ganeshie8

Answer 59

6% right ?

Answer 60

right but why is it a growth function

Answer 61

make a guess and tell me what you think

Answer 62

because it is constantly increasing?

Answer 63

Exactly!

Answer 64

may you help me w. the last part please @ganeshie8

Answer 65

`A recent drop in sales has affected Stock D with the function g(x) = -6. Explain to Gordon how Stock D s new price function, f(x) + g(x), will be created. Graph f(x) + g(x).`

we have \(f(x) = 23(1.06)^x\)
\(g(x) = -6\)

\(f(x) + g(x) = ?\)

Answer 66

fgx?

Answer 67

just add both the expressions

Answer 68

i did

Answer 69

we have \(f(x) = 23(1.06)^x\)
\(g(x) = -6\)

\(f(x) + g(x) = 23(1.06)^x-6\)

right ?

Answer 70

right .

Answer 71

@ganeshie8

Answer 72

is this the correct graph https://www.desmos.com/calculator

Answer 73

https://www.desmos.com/calculator/ml8wtaxfeq

Answer 74

thank you may you help me w. the last part please:)

Answer 75

```
Gordon wants to fully understand what kind of changes could affect
the money he is investing.
Using complete sentences, explain the effect of the following transformations.
Graph them and f(x) on the same coordinate plane.
f(x + 2)
f(-x)
f(x) + 3
```

Answer 76

ok

Answer 77

may u help me graph them

Answer 78

https://www.desmos.com/calculator/0zzwz6u4gk

Answer 79

@ganeshie8 what is the transformation?

Answer 80

@pooja195 may you help me explain the transformation

Answer 81

@Loser66