Question 981324: 1. Create an equation. Use the graph below to create the equation of the rainbow parabola.
http://assets.openstudy.com/updates/attachments/556f231ce4b0c4e453fa9e42-rosebud4612flvs-1433346859795-1.gif
2. 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.
**For #1 I got y=-1(x-6)(x+6)
y=-1x^2+36
Found 2 solutions by josgarithmetic, ankor@dixie-net.com:
Answer by josgarithmetic(39620)   (Show Source):
You can put this solution on YOUR website! Your description in #2 does not give enough information to find where the drone will intersect the parabola, and also, the drone cannot fly upward in vertical line only, to pass through two points; only could pass through one point.
Otherwise, for #1, You seem to have most or all the equation correctly.
 and you know  . Vertex is (0,36). You can identify a possible integer point ordered pair from the graph. Maybe, (4,20).
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 ----------Equation for the rainbow parabola, which is equivalent to what you found.
Maybe if the proper description for #2, something can be found. ( I ALREADY EXPLAINED THIS. IF DRONE MOVES VERTICALLY, INTERSECT IN ONLY ONE POINT; NOT TWO.)
Answer by ankor@dixie-net.com(22740)  (Show Source):
You can put this solution on YOUR website! Regarding the 2nd part where the drone crosses the parabola at two points
Choose two points on the parabola. for example
x1=-5; y1=11
x2=3; y2=27
:
Find a linear equation using these to points. Find the slope, then the intercept
From this I got y = 2x + 21
Looks like this
You can make a table from the linear equation and see that the points of intersection are included
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