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post the full problem please
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
ill post the question part neatly one sec
a screenshot would be better since you don't have to worry about weird format issues
oh okay one sec
stock B is blank. Is that a typo?
ah I see now
so you can completely make up the equation for stock D as long as it fits those conditions
you first need to find the starting price for each stock do you know how to do this?
:/ not really man im trying to get this out of the way because im so far behind :(
plug x = 0 into the f(x) function what result pops out?
f(0) = 25(1.08)0??
more like 25*(1.08)^0
use a calculator to compute 25*(1.08)^0
stock A's starting price is $25
stock B in the table, when x = 0, what is f(x) ?
22 i believe lol
C says the initial price is $30
Initial prices A: $25 B: $22 C: $30 D: not yet determined
what is one possible price for D?
um i dont know 28 maybe
D has the second lowest starting price
sure, anything between 22 and 25
22 is the lowest, so pick anything between 22 and 25 to squeeze in D so it is the second lowest
o ok 23 sorry lol
and hey i reallly appreciate your help btw :)
yeah 23 works too
Initial prices A: $25 B: $22 C: $30 D: $23
now you need the growth rate of each stock A through C
i know c has a growth rate of 4% each day but not the others
stock A has a growth rate of 8% since 1.08 = 1+0.08 and 0.08 = 8%
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
is stock B growing or decaying
ahh i see, decaying my bad lol
solve for x 22*x = 21.56 x = ??
uh im stuck on that one lol
divide both sides by 22
divide both sides of what?
ohhh nvm duhhh jeses im dumb haha
haha omgoodness i cant believe i was so blind there
yea i got it 0.98 haha
solve for r 1+r = 0.98
omfg im ignoring basic math i subtract 1 from .98
yeah, so r = -0.02
the negative r value tells us we have decay of 2%
ahhh this is neat lol
you subtracted in the wrong order
Initial prices A: $25 B: $22 C: $30 D: $23 Growth Rates A: 8% B: -2% C: 4% D: yet to be determined
you get to make up a percentage for D make sure it is the second highest growth rate
A: $25 B: $22 C: $30 D: $23 Growth Rates A: 8% B: -2% C: 4% D: 6%
that works anything between 4% and 8%
D starts at $23 has a growth rate of 6% the function for D is \[\Large D(x) = a(1+r)^x\] \[\Large D(x) = 23(1+0.06)^x\] \[\Large D(x) = 23(1.06)^x\]
ah you beat me to it lol so do i just put that third part as my answer
sorry about that
or all three equation piecs and no your fine :D
I would show work since most teachers want to see it
ok uno momento
okay so like i have 0 ways to make a graph
you can use desmos https://www.desmos.com/calculator
ok i made the first graph what do i do with this next part
you're on #3, right? or no?
yes :) thanks to this awesome guy
all you're doing with #3 is shifting the graph of f(x) down 3 units
the -3 tacked on the end means "the price drops 3 for each day"
so instead of starting with 25, you start with 22
how do i graph it?
type in 25*(1.08)^x - 3 into desmos
it wont let me save it to the computer tho
you can take a screenshot and paste it into your word doc
ok and for part 4
were you able to graph the transformations for part 4?
idkwhat to do for part 4 i dont understand it
and sorry i took so long i ws starting dinner for the family
i totally just got it! thankyou so much sir!