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- anonymous

Pre-Cal

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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.

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- anonymous

Pre-Cal

- chestercat

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- anonymous

http://assets.openstudy.com/updates/attachments/556f231ce4b0c4e453fa9e42-rosebud4612flvs-1433346859795-1.gif

- anonymous

- welshfella

the coefficient of x will be negative for a parabola that opens downwards
the function -x^2 is this shape with the vertex at the origin (0,0)
But we want to move this up to (0,36) by adding 36
so our equation would be
-x^2 + 36

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- anonymous

Thanks! what about this part?
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.

- welshfella

well we can choose one value that's on the y-axis say (0,20) for example.
Then one value on left side of our rainbow say x = -5 and y will then be -(-5^2) + 36 = 11

- anonymous

Ok!

- welshfella

we can then work out the equation of the line and find the point where it intersects another point on the curve and another point before or after the intersections

- anonymous

Don't we need to create a table w/ 2 intersection points too?

- welshfella

slope of line is (20-11)/ 0-(-5) = 9/5

- welshfella

yes we have one already and we can find the other by solving the 2 equations.
the line cuts the axis at y=20
so its equation is y = (9/5) x + 20

- anonymous

How would we do that? Just plug in points?

- welshfella

so another point could be at x = -7 and y= (9/5)*-7 + 20

- welshfella

to find the second point of intersection we need to solv
(9/5)x + 20 = -x^2 + 36

- anonymous

ok:)

- anonymous

would we subtract 20 from both sides?

- welshfella

its a quadratic so add x^2 to both sides
and subtract 36 from both sides

- welshfella

x^2 + (9/5)x - 16 = 0

- anonymous

now what do we do?

- welshfella

use the quadratic formula

- anonymous

Ok! But wouldn't the solution be complex making it no real solution?

- welshfella

no one solution will be negative though which you can ignore

- welshfella

the solution will be close to 3
so that will give you your 4 points

- anonymous

alrighty thank you!

- welshfella

yw

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