hey guys i usually dont do this much but i need some algebra help :(

- anonymous

hey guys i usually dont do this much but i need some algebra help :(

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- jamiebookeater

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- jim_thompson5910

post the full problem please

- anonymous

yessir

- anonymous

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.
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

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## More answers

- anonymous

ill post the question part neatly
one sec

- jim_thompson5910

a screenshot would be better since you don't have to worry about weird format issues

- anonymous

oh okay one sec

- anonymous

##### 1 Attachment

- jim_thompson5910

thanks

- jim_thompson5910

stock B is blank. Is that a typo?

- anonymous

my appologies

##### 1 Attachment

- jim_thompson5910

ah I see now

- jim_thompson5910

so you can completely make up the equation for stock D as long as it fits those conditions

- jim_thompson5910

you first need to find the starting price for each stock
do you know how to do this?

- anonymous

:/ not really man im trying to get this out of the way because im so far behind :(

- jim_thompson5910

plug x = 0 into the f(x) function
what result pops out?

- anonymous

f(0) = 25(1.08)0??

- jim_thompson5910

more like 25*(1.08)^0

- jim_thompson5910

use a calculator to compute 25*(1.08)^0

- anonymous

25?

- jim_thompson5910

good

- jim_thompson5910

stock A's starting price is $25

- jim_thompson5910

stock B
in the table, when x = 0, what is f(x) ?

- anonymous

22
i believe lol

- jim_thompson5910

yes

- jim_thompson5910

C says the initial price is $30

- jim_thompson5910

Initial prices
A: $25
B: $22
C: $30
D: not yet determined

- jim_thompson5910

what is one possible price for D?

- anonymous

um i dont know 28 maybe

- jim_thompson5910

D has the second lowest starting price

- anonymous

wait what

- anonymous

oh 21.56??

- jim_thompson5910

sure, anything between 22 and 25

- anonymous

oh anything?

- jim_thompson5910

22 is the lowest, so pick anything between 22 and 25 to squeeze in D so it is the second lowest

- anonymous

o ok 23 sorry lol

- anonymous

and hey i reallly appreciate your help btw :)

- jim_thompson5910

np

- jim_thompson5910

yeah 23 works too

- jim_thompson5910

Initial prices
A: $25
B: $22
C: $30
D: $23

- jim_thompson5910

now you need the growth rate of each stock A through C

- anonymous

um

- anonymous

i know c has a growth rate of 4% each day but not the others

- jim_thompson5910

stock A has a growth rate of 8%
since 1.08 = 1+0.08
and 0.08 = 8%

- anonymous

okay but how do i find b is it inbetween 4 and 8 because i know D is going to have to be the second highest

- jim_thompson5910

is stock B growing or decaying

- anonymous

ahh i see, decaying my bad lol

- jim_thompson5910

solve for x
22*x = 21.56
x = ??

- anonymous

uh im stuck on that one lol

- jim_thompson5910

divide both sides by 22

- anonymous

divide both sides of what?

- jim_thompson5910

the equation

- anonymous

ohhh nvm duhhh jeses im dumb haha

- jim_thompson5910

|dw:1435624899470:dw|

- jim_thompson5910

|dw:1435624917779:dw|

- anonymous

haha omgoodness i cant believe i was so blind there

- anonymous

yea i got it 0.98 haha

- jim_thompson5910

solve for r
1+r = 0.98

- anonymous

idk....?

- anonymous

omfg im ignoring basic math i subtract 1 from .98

- jim_thompson5910

yeah, so r = -0.02

- anonymous

0.02

- jim_thompson5910

the negative r value tells us we have decay of 2%

- anonymous

ahhh this is neat lol

- jim_thompson5910

you subtracted in the wrong order

- anonymous

oh...

- jim_thompson5910

Initial prices
A: $25
B: $22
C: $30
D: $23
Growth Rates
A: 8%
B: -2%
C: 4%
D: yet to be determined

- jim_thompson5910

you get to make up a percentage for D
make sure it is the second highest growth rate

- anonymous

A: $25
B: $22
C: $30
D: $23
Growth Rates
A: 8%
B: -2%
C: 4%
D: 6%

- jim_thompson5910

that works
anything between 4% and 8%

- anonymous

aight

- jim_thompson5910

D starts at $23
has a growth rate of 6%
the function for D is
\[\Large D(x) = a(1+r)^x\]
\[\Large D(x) = 23(1+0.06)^x\]
\[\Large D(x) = 23(1.06)^x\]

- anonymous

ah you beat me to it lol so do i just put that third part as my answer

- jim_thompson5910

sorry about that

- anonymous

or all three equation piecs and no your fine :D

- jim_thompson5910

I would show work since most teachers want to see it

- anonymous

ok uno momento

- anonymous

back

- jim_thompson5910

hey

- anonymous

okay so like i have 0 ways to make a graph

- jim_thompson5910

you can use desmos
https://www.desmos.com/calculator

- anonymous

ok i made the first graph what do i do with this next part

- jim_thompson5910

you're on #3, right? or no?

- anonymous

yes :) thanks to this awesome guy

- jim_thompson5910

all you're doing with #3 is shifting the graph of f(x) down 3 units

- anonymous

(you)*

- jim_thompson5910

the -3 tacked on the end means "the price drops 3 for each day"

- jim_thompson5910

so instead of starting with 25, you start with 22

- anonymous

how do i graph it?

- jim_thompson5910

type in 25*(1.08)^x - 3 into desmos

- anonymous

it wont let me save it to the computer tho

- jim_thompson5910

you can take a screenshot and paste it into your word doc

- anonymous

truu

- anonymous

ok and for part 4

- jim_thompson5910

were you able to graph the transformations for part 4?

- anonymous

idkwhat to do for part 4 i dont understand it

- anonymous

and sorry i took so long i ws starting dinner for the family

- anonymous

i totally just got it! thankyou so much sir!

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