Question

help! will give medal! long question!

Answer 1

As one of the new rollercoaster engineers, you have been tasked with developing a rollercoaster that will intertwine with existing Oakville Lake Amusement Park structures. For one of the more thrilling sections, the rollercoaster will dive down in-between buildings, plummet underground, pop back up, and coast over a hill before shooting back underground. There must be three distinct points where the rollercoaster crosses the x–axis. Precise measurements and attention to detail are very important.

Answer 2

First, here is the existing map of current structures. It is important that the rollercoaster does not go through the foundation of any of these structures. Pick three points on the x–axis that the rollercoaster will dive underground or resurface. (Points that have a building on them are off-limits.)

The rollercoaster will run from right to left, so work in that order when selecting points.
1st point:______
2nd point:______
3rd point:______

Answer 3

You could pick any 3 points you want, as long as it's not on a building. So let's go with -8, -4, and 6. Unless, of course, the question tells you what the maximum slope can be at any point in which case it would be harder to do.

Answer 4

Using those points as zeros, construct the polynomial function, f(x), that will be the path of your rollercoaster. Show all of your work. @G-unit

Answer 5

Okay, so we need y to equal to 0 at the points -8, -4, and 6 on the x-axis. We can do this by doing a simple equation like this:

y = (x+8)(x+4)(x-6)

So think: how do we usually find y-intercepts? By seeing what makes y equal 0 in the equation. As you can see, if you plug in x=-8, x=-4, or x=-6, Y is equal to zero, and that's exactly what we need.

Now just multiply the parenthesis out to simplify it, if the answers are like that.

Answer 6

y=(x+8)?

Answer 7

No,

y = (x+8)(x+4)(x-6)

You're leaving out the other two parts. Since we have THREE solutions to x we need, it has 3 parts.

Answer 8

oh ok thnx. can u help me with this part? 3. Using two of the theorems dicussed in the lesson, prove to the construction foreman that your function matches your graph. Use complete sentences.@G-unit

Answer 9

@G-unit

Answer 10

I don't know which theorems you discussed in your lesson.

Answer 11

just dividing Solving Polynomial Equations

Answer 12

@G-unit

Answer 13

Theorems should be labeled in your lesson, usually with a highlighted background. There's usually equations that go along with them. For example a theorem could be that (a+c)(a+c)(a+c) is equal to a^3 + a^2 + a + c

Answer 14

Determine the zeros of f(x) = x^3 + 5x^2 - 12x - 36 @G-unit

Answer 15

@DemolisionWolf

Answer 16

so the phrase, 'determine the zeros' means, do the procedure we did just on the last question.

but we have to factor down the function:
f(x) = x^3 + 5x^2 - 12x - 36
to something like this format:
f(x) = (x )(x )(x )

can you factor down the function for me?

Answer 17

im not really sure how @DemolisionWolf

Answer 18

f(x) = (x-3)(x+2)(x+6)

Answer 19

x=3
x=-2
x=-6
@DemolisionWolf

Answer 20

yep,

there is a long process of getting that function factored that i skipped tho..

Answer 21

is that the answer to this Using those points as zeros, construct the polynomial function, f(x), that will be the path of your rollercoaster. Show all of your work.


or this Using two of the theorems dicussed in the lesson, prove to the construction foreman that your function matches your graph. Use complete sentences.

Answer 22

@DemolisionWolf

Answer 23

oh wow, this is a very big/long question :/
is this an exam or something!

Answer 24

its a profolio!! and which one did we just answer??? @DemolisionWolf

Answer 25

"Using those points as zeros, construct the polynomial function, f(x), that will be the path of your rollercoaster.

well.... we already had the polynomial function, it was: f(x) = x^3 + 5x^2 - 12x - 36

Answer 26

"Using two of the theorems dicussed in the lesson, prove to the construction foreman that your function matches your graph. Use complete sentences."

for this part... i'm not sure what you discussed in class :/

Answer 27

i need help with or this Using two of the theorems dicussed in the lesson, prove to the construction foreman that your function matches your graph. Use complete sentences.
i already did the one your talking about

Answer 28

@DemolisionWolf

Answer 29

hey, but I don't know what you discussed in class, I wasn't there :(

Answer 30

oh yea your right :)
solve for the y–intercept for your function, f(x), and then construct a rough graph of your rollercoaster. If your y–intercept is off the graph, give the coordinates of the y–intercept.

Answer 31

@DemolisionWolf

Answer 32

to 'solve for the y-intercept of your function' you need to let x=0, then solve for y in the function you have

Answer 33

y = (x+8)(x+4)(x-6) thats my function so what do i do next? @DemolisionWolf

Answer 34

you'll need to FOIL your function then

Answer 35

x^2 + 4x + 8x + 32
x^2 +12x +32

Answer 36

@DemolisionWolf