Anybody wiling to help with algebra 1 for a medal?

Question

unklerhaukus · Answer

[insert question]

anonymous · Answer

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

anonymous · Answer

heres the chart that goes with the problem

anonymous · Answer

can you open the chart?

unklerhaukus · Answer

yeah , but  its easier to just upload a screen shot

anonymous · Answer

oh im sorry i didnt even know you could do that lol. can you help? ive been stuck for weeks.

unklerhaukus · Answer

so x is days right?

anonymous · Answer

right

unklerhaukus · Answer

have you done any of Q1?

anonymous · Answer

i dont even know how to start it

unklerhaukus · Answer

well A, B, and C are all different expressions for some different stock functions, you have to make stock function D

anonymous · Answer

okay

unklerhaukus · Answer

D must have `the second lowest starting price'  

so 

What are the starting prices of A, B and  C?

unklerhaukus · Answer

starting prices are the f(0) values

anonymous · Answer

a=25
b=22
c=30
??

unklerhaukus · Answer

yes, that's right

unklerhaukus · Answer

what could you choose as the starting price of D 
such that  D has  `the second lowest starting price'

anonymous · Answer

so the second lowest starting price would either be 23 or 24?

unklerhaukus · Answer

yeah you can choose either of those

anonymous · Answer

okay so 24

unklerhaukus · Answer

stock function D must also have 
` the second highest rate of growth'

what are the rates of growth of A, B, C?

anonymous · Answer

im not sure how to find that. is that the slope or something?

unklerhaukus · Answer

rates of growth is a similar idea to the slope, but it not quite the same,
 because the stock values will grow in a curve (not a straight line)

anonymous · Answer

so how do i find rate of growth of a. b. c?

unklerhaukus · Answer

exponential growth (as we have here)
fits this formula 
 
$$f(x)=A(1+r)^x$$
the value of the function is $x$  [the price of the stock]

$A$ is the initial values (starting price)

and the growth rate is $r$

unklerhaukus · Answer

$r$ is often expressed as a percentage

anonymous · Answer

oh! so for a=1.08? 
b=? and c=.04

anonymous · Answer

or is the 1.08 after they added 1? so it would be .08 for a?

unklerhaukus · Answer

that's right 

for A , the growth rate is 0.08 ,  what is this as a percentage?

anonymous · Answer

8% and 4% for c

unklerhaukus · Answer

(and yes  0.04 or 4% for the growth rate of C is correct )

unklerhaukus · Answer

good

anonymous · Answer

i dont know how to find b rate of change

unklerhaukus · Answer

the table says 

f(0) = 22.00    this is the initial value / starting price
f(1) =  21.56

and you know that exponential growth has the form $f(x) = A(1+r)^x$

unklerhaukus · Answer

what do you get when you plug the initial values in for $A$, 
and  use $x=1$, 


can you solve this for x?

anonymous · Answer

yes hold on

unklerhaukus · Answer

*solve for $r$

anonymous · Answer

f(x)=22(1+r)^1

anonymous · Answer

22+r^1?

unklerhaukus · Answer

that's f(1)

unklerhaukus · Answer

wait what ,

anonymous · Answer

i thought f(0) was 22

unklerhaukus · Answer

$$f(1)=22(1+r)^1=21.56$$

solve this for $r$

anonymous · Answer

okay so would i distribute 22 first?

unklerhaukus · Answer

$$f(0)=22(1+r)^0=22(1)^0=22$$

unklerhaukus · Answer

$$22(1+r)^1=21.56$$
divide both sides by 22

anonymous · Answer

$$(22+r)^{1}=.98$$

anonymous · Answer

i meant 1 + r

unklerhaukus · Answer

ok 

(1+r)^1 = .98

simplify the left hand side

anonymous · Answer

well the 1st power of 1 is 1 so would it be $$1+r=.98$$

unklerhaukus · Answer

good, keep going, what is r?

anonymous · Answer

r=-.02?

unklerhaukus · Answer

which makes sense, because as x (the days) increase in the table, the f(x) values [stock prices of B are dropping ]

anonymous · Answer

right

unklerhaukus · Answer

so you have you growth rates 

A:    r = 0.08  = 8%

B:    r = -0.02 = 

C:    r = 0.04   = 4%

D:    r =

unklerhaukus · Answer

remember the requirement is that stock D has 
` the second highest rate of growth'

unklerhaukus · Answer

@lyndsaysturgeon

unklerhaukus · Answer

what are you going to choose for the rate of growth for stock D?

unklerhaukus · Answer

For part 2.    Form an equation for the value of stock D
like $f(x)=A(1+r)^x$
with the parameters $A$ and $r$, that you have chosen  

make a table and plot the points

anonymous · Answer

okay so what would be the percent of -.02?

unklerhaukus · Answer

0.02 is 2%

so -0.02 is -2%

anonymous · Answer

okay so the percent for d would be 6%?

unklerhaukus · Answer

sure that is a fine choice,

anonymous · Answer

24(1+.06)x?

unklerhaukus · Answer

So what do you get with those parameters if you plug them into 
$$f(x)=A(1+r)^x$$

anonymous · Answer

24(1+.06)^x

unklerhaukus · Answer

right , can you do the table on you own? i have to go to slepp

anonymous · Answer

sure thank you!

unklerhaukus · Answer

ok well, i hope i have helped you to understand some thing about exponential growth   , good night

anonymous · Answer

you did! good night!