anonymous
  • anonymous
After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. You notice the rainbow is the shape of a parabola. Create an equation. Use the graph below to create the equation of the rainbow parabola.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
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anonymous
  • anonymous
y = a(x - p)(x - q) p and q are the zeros of the parabola, -6 and 6 y = a(x + 6)(x - 6) Substitute third point (0, 36) into the above equation to solve for a.
anonymous
  • anonymous
@peachpi so i plug 0 in for x and then 36 i plug it in where the y is?

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anonymous
  • anonymous
yes
anonymous
  • anonymous
is the answer a=-1? @peachpi
anonymous
  • anonymous
yes
anonymous
  • anonymous
can you help me on the next question please?? @peachpi
anonymous
  • anonymous
if i can
anonymous
  • anonymous
Create a table of values for a linear function. A drone is in the distance, flying upward in a straight line. It intersects the rainbow at two points. Choose the points where your drone intersects the parabola and create a table of at least four values for the function. Remember to include the two points of intersection in your table.
anonymous
  • anonymous
3)Analyze the two functions. Answer the following reflection questions in complete sentences. What is the domain and range of the rainbow? Explain what the domain and range represent. Do all of the values make sense in this situation? Why or why not? What are the x- and y-intercepts of the rainbow? Explain what each intercept represents. Is the linear function you created positive or negative? Explain. What are the solutions or solution to the system of equations created? Explain what it or they represent.
anonymous
  • anonymous
Pick two points that the parabola goes through and then write the equation of the line that connects them.
anonymous
  • anonymous
What points would be the easiest?
anonymous
  • anonymous
any two points where gridlines meet. Or if you have a graphing calculator you can pick points with integers or simple fractions
anonymous
  • anonymous
5,5?
anonymous
  • anonymous
i mean 5,10
anonymous
  • anonymous
The line has to intersect the parabola twice AND move upward. You need a lower point on the left side and a higher point on the right side |dw:1433865603177:dw|
anonymous
  • anonymous
You chose 5 on the right, but that won't really work with moving upward. Try -5 on the left, and plug it into the equation we found above to find the y-coordinate.
anonymous
  • anonymous
i am so confused like idk where to even start.
anonymous
  • anonymous
when you plug -5 into the equation we got for the first part, what do you get?
anonymous
  • anonymous
what do i plug it in for? which variable
anonymous
  • anonymous
for x. to solve for y
anonymous
  • anonymous
so y=-1(-5+6)(-5-6)? then solve?
anonymous
  • anonymous
yes
anonymous
  • anonymous
y=11?
anonymous
  • anonymous
yes. Now pick an x-value on the right side and do the same thing to get the other point. |dw:1433866189861:dw|
anonymous
  • anonymous
-4?
anonymous
  • anonymous
yes you can use -4
anonymous
  • anonymous
what do i plug that in for?
anonymous
  • anonymous
x
anonymous
  • anonymous
y=20
anonymous
  • anonymous
ok. great :) so now you want to find the equation of the line through (-5, 11) and (-4, 20)
anonymous
  • anonymous
Start by finding the slope
anonymous
  • anonymous
what is the formula again? sorry!
anonymous
  • anonymous
|dw:1433866705637:dw|
anonymous
  • anonymous
9/1
anonymous
  • anonymous
yes, or just 9. So y = 9x + b. Plug in either of the 2 points to solve for b
anonymous
  • anonymous
i can plug in 11 for y or x?
anonymous
  • anonymous
if you plug in 11 for y, then use -5 for x
anonymous
  • anonymous
b=56???
anonymous
  • anonymous
yes
anonymous
  • anonymous
so how do i answer the question in paragraph form?
anonymous
  • anonymous
sorry, which question?
anonymous
  • anonymous
which question did i just do all that work for question 2?
anonymous
  • anonymous
that was for the question with the table. The equation for the line is y = 9x + 56 and you have two points on it. Find any two other random points |dw:1433867320239:dw|
anonymous
  • anonymous
ok so that is all for #2?
anonymous
  • anonymous
yes.
anonymous
  • anonymous
I actually have to go. Sorry I can't help anymore
anonymous
  • anonymous
the domain of the rainbow is [-6,6] and the range is [0,36] and it's just the shape of the rainbow. The linear function is increasing and positive and represents the path of the drone. the solutions are (-5,11 and (-4,20) and they are where the drone passes through the rainbow
anonymous
  • anonymous
You are awesome thank you!

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