Question

Contact your partner if you are choosing to do this project collaboratively. Look at the polynomial below.

y = ax3 + bx2 + cx + d

Graph this using any graphing technology of your choice. However, replace the variables a, b, c, and d with numbers. For example, you could graph y = 2x3 + 3x2 – x + 2. Observe the graphed outcomes together (or independently if working alone). This is an investigation process to see what types of curves and lines you and your partner can produce with this equation.

Answer 1

How far did you get with this problem?

Answer 2

i didn't start yet because i dont know where to start

Answer 3

well it first says for you to pick 4 numbers to replace a,b,c,d

Answer 4

"Graph this using any graphing technology of your choice. However, replace the variables a, b, c, and d with numbers. For example, you could graph y = 2x3 + 3x2 – x + 2"

Answer 5

okay 2,4,6,8 can that work

Answer 6

and then what?

Answer 7

yes it can

a = 2
b = 4
c = 6
d = 8

\[\Large y = ax^3 + bx^2 + cx + d\]

\[\Large y = 2x^3 + 4x^2 + 6x + 8\]

Answer 8

Now use a graphing calculator to graph \[\Large y = 2x^3 + 4x^2 + 6x + 8\]

Answer 9

Do you have a graphing calculator?

Answer 10

no but is there a web site i can used?

Answer 11

yes there is

https://www.desmos.com/calculator

Answer 12

are you able to graph using that?

Answer 13

is it (-1,8) is that right

Answer 14

this is what I get

Answer 15

so what would my answer be?

Answer 16

well part of your answer is that graph

notice how the table corresponds to the graph (the points on the graph)

Answer 17

you will compare your graph with a partner's graph

your partner would pick different values for a,b,c,d

Answer 18

i dont have a partner im working by myself

Answer 19

my answer would be -4,4,8?

Answer 20

"Graph this using any graphing technology of your choice."

so the answer they want are graphs

Answer 21

not just numbers

Answer 22

okay so attach the file you send me to my work?

Answer 23

pretty much, but they may just want the graph only?

hmm not sure

I guess you should also throw in the table as well

Answer 24

okay thank u can u also help me with the rest?

Answer 25

what's your other question?

Answer 26

Discuss with your partner what you would like to see in a roller coaster. Graph different functions by changing a, b, c, and d to “design” your ideal roller coaster. Come up with at least four equations that when pieced together would make your ultimate roller coaster. Be sure to note what WINDOW SIZES you’re using in your graphs. You may have to change the default size to better see each of the polynomials’ shapes

Answer 27

Ok so you need to do at least 4 different graphs (with different a,b,c,d values)

Answer 28

and you also need to write down which window sizes you are using

Answer 29

okay so a,b,c,d are just like we did before ?

Answer 30

yes pick random numbers for each

Answer 31

okay for a- 5345

Answer 32

it might be helpful to make each number small

Answer 33

okay what about y=2x^3+3x^2+4x+2 can that work

Answer 34

Sure that works

Answer 35

What's another graph you could do

Answer 36

can u graph it for me please because i dont know how to attach it

Answer 37

do you know how to use that desmos calculator I gave you?

Answer 38

yes

Answer 39

are you able to graph there? or no?

Answer 40

i am but idk how to attach it to show u my work

Answer 41

you can do a screenshot

Answer 42

file:///C:/Users/Owner/Downloads/Desmos%20Graphing%20Calculator%203.htm
and im on my computer

Answer 43

see idk how to send it to u

Answer 44

hello

Answer 45

are you able to capture the whole graph?

Answer 46

no

Answer 47

hit printscreen and you can paste that into paint

Answer 48

how do i do that im on a computer

Answer 49

windows or mac?

Answer 50

emachines

Answer 51

is there a bar at the bottom of your screen that has "start" on it?

Answer 52

yes

Answer 53

ok you most likely have windows

Answer 54

read through this page

http://windows.microsoft.com/en-us/windows-xp/help/setup/take-a-screen-shot

Answer 55

This might also help

http://www.wikihow.com/Take-a-Screenshot-in-Microsoft-Windows

Answer 56

its not working

Answer 57

which step isn't working?

Answer 58

i cant fint the edit

Answer 59

are you able to get into MS paint?

Answer 60

yes i got it working thank u can we move on to the next question now

Answer 61

what's the next one?

Answer 62

im just reminding u with the question
Discuss with your partner what you would like to see in a roller coaster. Graph different functions by changing a, b, c, and d to “DESIGN” your ideal roller coaster. Come up with at least four equations that when pieced together would make your ultimate roller coaster. Be sure to note what WINDOW SIZES you’re using in your graphs. You may have to change the default size to better see each of the polynomials’ shapes

Answer 63

alright

Answer 64

so i already answer one of the question what im i going to do next

Answer 65

you just need 4 (or more) graphs to represent different roller coasters

Answer 66

also, write down the window sizes you use

Answer 67

window size? and im going to do the graphs and send them to u okay

Answer 68

Basically you just report

xmin
xmax
ymin
ymax

Answer 69

what im a littlt confuse

Answer 70

little

Answer 71

with what?

Answer 72

window size

Answer 73

can this work y=3x^3+5x^2+4x+5

Answer 74

Pretend this is your graph