Question

help me ;~;

Answer 1

HOLD ON LET ME FIX SOME OF THE EXPONENTS

Answer 2

Use any graphing technology of your choice, and answer the following questions about your observations. Please use complete sentences.

Part 1:

Scenario 1:

Graph y = –2x^2 + 6. Describe what you see.







–2x^2 + 6 is what kind of polynomial? Classify the polynomial by degree and number of terms.







Next, graph y = (-1/10)x^2 + 6. Describe what you see. How is what you observe here different from what you observed in part A?







If you wanted a really steep hill for your roller coaster, would you use the graph of y = –2x^2 + 6 or y = (-1/10)x^2 + 6? Why? What part of the expression affected the steepness?







Using the same reasoning from part D, create an equation that will be steeper than both equations, and explain your reasoning.







Scenario 2:

Graph y = x^3 – 2x^2 + 6. Describe what you see.







x^3 – 2x^2 + 6 is what kind of polynomial? Classify the polynomial by degree and number of terms.







Next, graph y = x^3 – 4x^2 + 6. Describe what you see. How is what you observe here different from what you observed in part A?







If you wanted the middle part of your roller coaster to have a steeper drop, would you use the graph of y = x^3 – 2x^2 + 6 or y = x^3 – 4x^2 + 6? Why? What part of the expression affected the steepness?







Using the same reasoning from part I, create an equation that will be steeper in the middle than both equations, and explain your reasoning.







Part 2: Designing a roller coaster

Look at the polynomial below.

y = ax^3 + bx^2 + 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 = 2x^3 + 3x^2 – x + 2. Observe the graphed outcomes. This is an investigation process to see what types of curves and lines you can produce with this equation.

Special Note: You may make any coefficient zero. This eliminates the variable. For example, if you wanted to make y = 3x^2 + 2, a and c would be zero to cancel out the x^3 and the x terms.

Select GeoGebra if you would like to use a graphing interactive to complete this part of the project.

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.
Use a drawing program (or draw by hand and scan) to recreate your roller coaster, and for each section, provide the equations you decided upon.

You may view a sample roller coaster to get an idea of what is expected.

Answer 3

i left out part 3 the conclusion cause i can do that ez

Answer 4

lets work on it together lol @sweetburger @camerondoherty @oldrin.bataku @Mehek14

Answer 5

Its asking you about the observed phase shifts being done on the graph.

Answer 6

y = ax^2 + c

changes to a will cause constrictions or expansions to the graph. Changes to c will cause vertical shifts in both the positive and negative direction.

Answer 7

ok lets start with the very first part.. lets do it step by step

Answer 8

im gonna make a google docs cause we need one,

Answer 9

i gave u guys the link @sweetburger @Mehek14 @camerondoherty

Answer 10

@ShadowLegendX u too

Answer 11

i got help from mekey >_<

Answer 12

>_<

Answer 13

thanks <3 @Mehek14

Answer 14

<3