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.

The equation for this parabola is y = -x^2 + 36.

Answer 1

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Answer 2

In the distance, an airplane is taking off. As it ascends during take-off, it makes a slanted line that cuts through the rainbow at two points. Create a table of at least four values for the function that includes two points of intersection between the airplane and the rainbow.

Answer 3

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Answer 4

You might want to look at how the other graph looks like if you are solving graphically


You can also solve by setting them equal to each other (algebraically)

Answer 5

is there more to the question or do I only have to fill in the table?

Answer 6

Oh they only gave you the equation of the rainbow

I guess this only really depends on where you want it to intersect though I feel like something is missing

Answer 7

so we need two points of intersection between the airplane and the rainbow and then fill the table

Answer 8

so how do I choose the two points of intersection?