I'LL MARK BRAINLIEST JUST PLEASE HELP! I ONLY NEED HELP WITH PART C AND D! I ALREADY DID PARTS A AND B! JUST HELP WITH C AND D, TYSM!!
Roller Coaster Crew
Ray and Kelsey have summer internships at an engineering firm. As part of their internship, they get to assist in the planning of a brand new roller coaster. For this assignment, you help Ray and Kelsey as they tackle the math behind some simple curves in the coaster's track.
Part A
The first part of Ray and Kelsey's roller coaster is a curved pattern that can be represented by a polynomial function.
Ray and Kelsey are working to graph a third-degree polynomial function that represents the first pattern in the coaster plan. Ray says the third-degree polynomial has 4 intercepts. Kelsey argues the function can have as many as 3 zeros only. Is there a way for the both of them to be correct? Explain your answer.
Ray and Kelsey are both correct because a polynomial can only consist of 3 x-intercepts. But here can also be another intercept, to make 4 intercepts in total. Which can be one y-intercept. So yes, in this situation, Ray and Kelsey are both correct.
Kelsey has a list of possible functions. Pick one of the g(x) functions below and then describe to Kelsey the key features of g(x), including the end behavior, y-intercept, and zeros.
g(x) = x3 − x2 − 4x + 4
When you graph this equation, it has it’s points at (-2, 0), (1, 0) and (2, 0). And the y-intercept is (0, 4).
Create a graph of the polynomial you selected from Question 2.
Part B
The second part of the new coaster is a parabola.
Ray needs help creating the second part of the coaster. 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.
A unique parabola in the form f(x) = ax^2 - bx + c could be… f(x) = 3x^2 - 2x - 4. When you graph this equation, the direction of the parabola is first sloping down, then curving at the bottom to start going back upwards. The y-intercept here is -4.
The safety inspector notes that Ray also needs 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 the parabola, showing your work, so Ray can include it in his coaster plan.
From the graph, you can see it’s kind of a downwards directed parabola having vertex at (0.33, -4.33). Also, the x-intercept at -0.87 and 1.53. And the y-intercept at (0,-4). The axis of symmetry equation is a vertical line around which the parabola is symmetric and is given by the equation of a vertical line that passes through the vertex x = 0.33.
Create a graph of the polynomial function you created in Question 4.
Part C
Now that the curve pieces are determined, use those pieces as sections of a complete coaster. By hand or by using a drawing program, sketch a design of Ray and Kelsey's coaster that includes the shape of the g(x) and f(x) functions that you chose in the Parts A and B. You do not have to include the coordinate plane. You may arrange the functions in any order you choose, but label each section of the graph with the corresponding function for your instructor to view.
!HELP WITH THIS ONE!
Part D
Create an ad campaign to promote Ray and Kelsey's roller coaster. It can be a 15-second advertisement for television or radio, an interview for a magazine or news report, or a song, poem, or slideshow presentation for a company. These are just examples; you are not limited to how you prepare your advertisement, so be creative. Make sure to include a script of what each of you will say if you are preparing an interview or a report. The purpose of this ad is to get everyone excited about the roller coaster.
!HELP WITH THIS ONE!
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Polynomial Ride
Caris and her friends enjoy roller coasters whenever a new roller coaster opens near
their community, they try to be among the first to ride.
On Saturday, they decide to ride a new coaster built in Marifeina
Riverbanks. while waiting in line, Chris notices that part of this coaster resembles
the graph of a polynomial function that they have been studying in their math
10
1. The brochure for the coaster rays that, for the first 10 seconds of the ride
the height of the coaster can be determined by h (t) = 0.34-st² + alt.
where is the time in reconds and h in the height in feet clarify this polynomial
by degree and by number of terms
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