Question

The second part of the new roller coaster is a parabola.
4. Create a unique parabola in the pattern f(x) = ax2 + bx + c. Describe the direction of the parabola and determine the y-intercept and zeros.

5. The safety inspector notes that you also need to plan for a vertical ladder through the center of the coaster's parabolic shape for access to the coaster to perform safety repairs. Find the vertex and the equation for the axis of symmetry of your parabola, and show your work.

6. Create a graph of the polynomial function you created in Question 4.

Answer 1

@BenLindquist @Ultrilliam last one

Answer 2

@dude

Answer 3

it goes with the graph from the first question

Answer 4

\[g(x) = x^3 − 3x^2 − 4x + 12\]

Answer 5

You are using a \(x^3\)? or it was given?

Answer 6

the whole equation was given to me if thats what u mean

Answer 7

Ah okay, to find the zeroes look at where the graph crosses the x-axis

Answer 8

is that x-axis right here in the middle of 0-5

Answer 9

What are the values of those points?

Answer 10

(2,0) (3,0)

Answer 11

Right so those are your zeroes, do you know the y-intercept?

Answer 12

2 lines above 10?

Answer 13

Yes, so what would that point be?

Answer 14

(12,0)

Answer 15

Almost, make sure they are in the right order
\((x,y)\)

Answer 16

(0,12)

Answer 17

Right

Answer 18

ok so this is the answer tooo??
which question 4?

Answer 19

Ah this is for 4, also we have to describe the description for the graph.
Does it curve up or down? At which parts?

Answer 20

so the answer for question 4 is

Zeros: (2,0) (3,0)
Y-intercept: (0,12)

Answer 21

it curves down at the x-axis and curves up and the y-axis

Answer 22

^this correct^

Answer 23

so question 5

5. The safety inspector notes that you also need to plan for a vertical ladder through the center of the coaster's parabolic shape for access to the coaster to perform safety repairs. Find the vertex and the equation for the axis of symmetry of your parabola, and show your work.

Answer 24

not quite for the last part, list a set of points where it goes up, for example
When \(∞\le x<2\) it curves down

Answer 25

what that was just gibberish to me

Answer 26

@Ultrilliam

Answer 27

@Ultrilliam

Answer 28

uh sorry I can't do this but I can do reports for ya x'D

Answer 29

infinity is less than or equal to x is less than or equal to 2

Answer 30

huh??????

Answer 31

Exactly

Answer 32

if ur not gonna help please go enders

Answer 33

So what I wrote was when x is infinity up until x gets to 2, the graph curves down

Answer 34

^so that would be the answer for #4

Answer 35

Well part of it, we still have to talk about where it curves up

Answer 36

dude i have less than 10 mins can we speed it up a little

Answer 37

dont mean to be rude or anything i just and on a time limit and need it done

Answer 38

When x equals negative infinity to when x equals 2 the graph curves down, when x is 2 until x is positive infinity it curves up

Answer 39

ok so that plus the markers would be the answer for #4

Answer 40

Yes

Answer 41

Alright this is a cubic function which just makes this process a bit longer for #5
Do you know the vertices of the graph?

Answer 42

No thats why im here

Answer 43

So its the part where the graph is at its highest or lowest in the curve

Answer 44

ok

Answer 45

@dude Where did u go?

Answer 46

@MissSugarPink132

Answer 47

@bananas

Answer 48

Dude too long didn't read, can you post a new thread with unanswered bits