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

@Loser66 i need help w. explaining the transformation

Answer 3

ok, you need understand how to graph those functions from the original one, right?

Answer 4

no i need to understand the effect of the transformation on the last question @Loser66

Answer 5

I think to explain it, you need all in the same coordinate.

Answer 6

??? @Loser66

Answer 7

https://www.desmos.com/calculator/0zzwz6u4gk this is the graph

Answer 8

now explain it to me please what is so confusing

Answer 9

@Loser66

Answer 10

ok, so you have D is \(f(x) = 23(1.06)^x\) right?

Answer 11

nope, hehehe. it is \(f(x) =23(1.06)^x -6\)

Answer 12

now, f(x+2) that is just x plus 2, hence
\(f(x+2) =23(1.06)^{x+2}-6\)

Answer 13

JUST EXPLAIN ME THE EFFECT OF THE TRASNFORMATIONS

Answer 14

WHAT IS THE EFFFECT OF THIS OE F(X+2)

Answer 15

\(= 23(1.06)^x(1.06)^2 -6=25.8428(1.06)^x-6\)

Answer 16

calm down, no need to shout at me, hehehe. step by step

Answer 17

I graph them and you can see what effect when your graphs changing

Answer 18

https://www.desmos.com/calculator/4q6mdevevr

Answer 19

see, the orange graph is increasing faster than the red one when x =-50

Answer 20

now, it is f(-x) the green graph shows that the profit decreases as x goes to the right side. That is the profit is decreasing as time past
https://www.desmos.com/calculator/bkg1zz7vvi

Answer 21

sorry, above is the blue one

Answer 22

now the green one is f(x) +3 https://www.desmos.com/calculator/sf239wb0wk

Answer 23

did you see my graph?

Answer 24

@Loser66 and what is the transformation for f( x+ 3 and f(x-2)

Answer 25

it says, at the beginning, the profit is higher than all 3 units. but at x =0, its profit meets the orange one and their value is 20, after then, orange one grows faster

Answer 26

x-2, right? we have x+2 above right, exactly the same, but x-2

Answer 27

that is \(f(x)=23(1.06)^{x-2}=23(1.06)^x(1.06)^{-2}=\dfrac {23(1.06)^x}{1.06)^2}=20.467(1.06)^x\)

Answer 28

oh, yeah, the same, just combine all in one. hehehe and you don't know how to "read" the graph, ok, it is all above.

Answer 29

what is the effect though @loser66