Question

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.

1)The equation for this parabola is y = -x2 + 36.

Answer 1

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.

Answer 2

@jhonyy9 can you help woth this?

Answer 3

Is this on paper or online?

Answer 4

online class

Answer 5

Are you allowed to use other online tools to help you solve the problem or are you supposed to work it out by hand?

Answer 6

i have to show work on how i got the answers

Answer 7

so like typeit on paper about how i got the answers

Answer 8

Okay then, the easier way would have been to use an online graphing calculator but you can do it by hand to. So you want a line that intersects the parabola at two points. I would first graph the parabola and come up with any line that touches the parabola in two points

Answer 9

the graph is up there^^

Answer 10

im so confused with this question

Answer 11

I didn't see that lol. Then just come up with the equation of a line. Almost any line will work as long as it has its y intercept below 40

Answer 12

so -2 and 35?

Answer 13

i mean 32

Answer 14

No, just give me an equation of a line (y=mx+b) but make sure b is less than 40

Answer 15

oh ok like y=2x+32? idk lol

Answer 16

oh it says All questions were answered completely with required supporting evidence, graph, and work. so we probably can just use the graphinf tool

Answer 17

Yeah that works but I just realized there was an easier way.

So forget what I told you so far and pick 2 points from the parabola. Whole numbers would make this a lot easier so I would use something like (-6, 0) and (0, 36).

Answer 18

If you can use a graphing tool, I would go to desmos.com and type in th

Answer 19

the equation of the parabola

Answer 20

so if i type that in would it give me the points or something?

Answer 21

It'll show you the graph and you will be able to see the line you need to come up with on top of the parabola. This makes the question a lot easier

Answer 22

so i typed in my equation now what do i dd

Answer 23

Now remember our two points, (-6, 0) and (0,36). Use the point slope formula
y – y1 = m(x – x1)
to get the equation of the line we will use

Answer 24

You can do this on a sheet of paper.

Answer 25

i got 6x+36 correct?

Answer 26

yes

Answer 27

Now plug in the parabola and the equation of the line into desmos

Answer 28

so its asking for 4 points but 2points should be the intersection points so that would be one of the instersection points?

Answer 29

i just did tht and it shows a line and i do it under my original equation right?

Answer 30

Yes. Now just pick 2 random points from the line, and make a table with the two points of intersection and those 2 random points. I would also send a screenshot of the graph too.

Answer 31

how would i screenshot it cause i tried saving it ut the file wont open

Answer 32

for the other intersection can i use 6,0 nd 0,-36

Answer 33

On your keyboard, there should be a PrtSc button and that takes screenshots or you can go open up Snipping Tool which is a software preinstalled on all computers.

Answer 34

And (-6,0) and (0, 36) are your points of intersection

Answer 35

ohok so y=6x+36?

Answer 36

yes

Answer 37

so they are both same lines right?

Answer 38

so for the random ones what do i pick

Answer 39

is that correct?

Answer 40

Like (-3, 18) and (3, 54)

Answer 41

Yes that's fine

Answer 42

so i got y=3x+36 again so do i also put tthat in the grahing tool?

Answer 43

i mean 6x

Answer 44

What do you mean?

Answer 45

You only need to graph y=6x+36 once

Answer 46

oh so if you seee my picture do i take number 3 out?

Answer 47

Yeah

Answer 48

ohh i just write the points in table but graph only one?

Answer 49

Yes

Answer 50

ok so we have -6,0 and 0, 36 -6,0 and 0, 36 -3,18 and 3,54

Answer 51

dont we have same points for first two? is that fine?

Answer 52

That would be my table