MA105 Grantham University Polynomials Problems Paper

I need help answering these questions. I have took a screen shot of every question and attached the file. It is 13 questions.

1.This week we’ve talked about polynomials and their properties. Polynomials show up in the real world
a lot more than you would think! Applications can be found in physics, economics, meteorology, and
more.
One real-world example of a degree-two polynomial is the projectile motion equation used in physics:
Details about this formula can be found at the brainfuse.com website.
For example, if you hit a baseball at shoulder height (say about
may have an initial velocity of around
. The force of gravity is about
, you
.
We can convert our miles to hour to feet per second (89.5 mph = 131.3 ft/s) and create an equation that
would model the height of the ball at time t:
Pick a baseball team average speed off the bat from this list. Pretend you are on that team and hitting a
pitch. Using your height and the information in the table, create your own personalized equation as was
done in the example above.
Once you have your equation, find the zeros and the vertex using the techniques covered this week in
Chapter 3. Show all your work!
Compare the maximum height of your classmate’s baseball to your own. Do you think the difference is
more from the difference in initial height of the bat or in the speed of the pitch?
2.Week 5 Deliverables
Read through the two problems with your partner and try to come up with a plan for solving these
problems. Will you be using technology, and if so, what will it be? Do you have different ideas on
how to approach the problems?
At the end of week 5, each partner must submit in the W5 Assignment dropbox a Microsoft Word
document addressing the following items. You will earn 20 points if you cover all the items for Week
5. If you do not cover all the items you will not earn points for the Week 5 Deliverables.
·
Problem solving plan (problems found on page 239-240 in textbook)
o Problem 6
§ What parent function does it look like you need to use to fit the shape in Figure 6?
§ Share your ideas of how you will go about figuring out the equation. There are multiple methods,
so if you have more than one idea, share them all!
o Problem 10
§ In order to find the distance for the red marked paths, does it make more sense to use the
Pythagorean Theorem, distance formula, slope, or equation of the line? Could it be possible to use
any of them? Explain your answer.
§ What concept or formula will you need to use in order to create the equation that gives time as a
function of distance?
3. Select the graph of the quadratic function
Vertex: (0, 3)
Axis of symmetry: y-axis
Vertex: (0, 1)
Axis of symmetry: y-axis
. Identify the vertex and axis of symmetry.
Vertex: (0, 5)
Axis of symmetry: y-axis
Vertex: (0, 4)
Axis of symmetry: y-axis
Vertex: (0, 2)
Axis of symmetry: y-axis