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Oh! So would it be -1(x+6)(x-6) ??

yes! that's right!

Ok so then I got -x^2+36?

correct!

There is a 2nd part to this question, I'm not getting

I know, I'm lost too:)

you have to create a table for a straight line like this one:
|dw:1438706644480:dw|

step#1 please chose two point on your rainbow

oops.. choose*

um 3?

you have to choose 2 values for x-coordinate

between -6 and 6

oh okay then 5

x1=5 and x2=?

11?

no, your value has to be less than 6 and grater than -6

x=5 is right! the other value can be x=2

what do you think?

yes, i agree

ok!

now we have to compute the corresponding y-value, so, if x=5
then:
y=-5^2+36=-25+36=11

whereas if x=1, then:
y=-1^2+25=...?

I see, I see:)

24

sorry if x=1, then:
y=-1^2+36=35
we have these points:
(1,35) and (5,11)

I agree:)

so then we would have to make a chart, and another function right?

-24/4

-6

yes!

so, what is the equation of your straight line?

um y=6x+1?

i mean y=-6x

please, simplify

y-35=-6x+6

so:
y=...?

y=-6x-29

I got:
Y=-6x+41 am I right?

yes. whoops:)

ok! Now the exercise asks you at least four points

you have already two points:
(1,35) and (5,11)

what about 2?

whit those four points you have to create a table like this:
|dw:1438708104245:dw|

ok! x=2 is good, so:
y= -2^2+36=-4+36=...?

32

so the third point is:
(2,32)

now, we can choose x=-3

what is y?

45

I got this:
y=-(-3^2)+36=-9+36=27

yes<3

Yayyy! We did it! So just to make sure, the 2nd equation is y=-6x?

so, the requested table is:
|dw:1438708531419:dw|

the second equation is:
\[\Large y = - 6x + 41\]

oh, so is it possible that we could have plug the points into that equation to get the points too?

please wait

similarly at x=-3:
\[\Large y = - 6 \cdot 3 + 41 = ...\]

29

so can we draw the chart again and see?

ok! so we got these points:
(2,29) and (-3,23)

|dw:1438708966376:dw|

what would the domain/range be?

that's right!

the domain of the direction of the drone, it is all the real line

so would the domain be -6 and 6 then?

it is the domain of the rainbow, I think

ohhh

Thanks for all your help!!!!! :D

please wait, I have made another error, the fourth point is:
(-3,59)

Good thing you caught that!

since we have:
\[\Large y = \left( { - 6} \right) \cdot \left( { - 3} \right) + 41 = 18 + 41 = 59\]

the domain of the rainbow is the subsequent interval:
(-6,6)
whereas its range is (0,36)

what would that represent?

the range is the set af possible values of the function -x^2+36 when
x is inside the domain

Is the linear function you created positive or negative? Explain.

I think that it represents the possible Rainbow heights with respect to the Earth's surface

the linear function which we have created has a negative slope, so I think it is negative

thanks so much:)