anonymous
  • anonymous
Pre-Cal
Mathematics
  • Stacey Warren - Expert brainly.com
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schrodinger
  • schrodinger
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anonymous
  • anonymous
http://assets.openstudy.com/updates/attachments/556f231ce4b0c4e453fa9e42-rosebud4612flvs-1433346859795-1.gif
anonymous
  • anonymous
@mathmate
welshfella
  • 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
  • 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
  • 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
  • anonymous
Ok!
welshfella
  • 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
  • anonymous
Don't we need to create a table w/ 2 intersection points too?
welshfella
  • welshfella
slope of line is (20-11)/ 0-(-5) = 9/5
welshfella
  • 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
  • anonymous
How would we do that? Just plug in points?
welshfella
  • welshfella
so another point could be at x = -7 and y= (9/5)*-7 + 20
welshfella
  • welshfella
to find the second point of intersection we need to solv (9/5)x + 20 = -x^2 + 36
anonymous
  • anonymous
ok:)
anonymous
  • anonymous
would we subtract 20 from both sides?
welshfella
  • welshfella
its a quadratic so add x^2 to both sides and subtract 36 from both sides
welshfella
  • welshfella
x^2 + (9/5)x - 16 = 0
anonymous
  • anonymous
now what do we do?
welshfella
  • welshfella
use the quadratic formula
anonymous
  • anonymous
Ok! But wouldn't the solution be complex making it no real solution?
welshfella
  • welshfella
no one solution will be negative though which you can ignore
welshfella
  • welshfella
the solution will be close to 3 so that will give you your 4 points
anonymous
  • anonymous
alrighty thank you!
welshfella
  • welshfella
yw

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