anonymous
  • anonymous
Create an equation.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
@Michele_Laino
anonymous
  • anonymous
@Hero
anonymous
  • anonymous
@welshfella

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anonymous
  • anonymous
http://assets.openstudy.com/updates/attachments/556f231ce4b0c4e453fa9e42-rosebud4612flvs-1433346859795-1.gif
anonymous
  • anonymous
I think I got the equation but not the second part. y=-x^2+36
anonymous
  • anonymous
Would i be right?
welshfella
  • welshfella
the vertex form is- a(x -b)^2 + c so here we have y = -a(x - 0)^2 + 36
welshfella
  • welshfella
when y = 0 x = 6 0 = -a(6)^2 + 36 so a = 1 equation is y = -x^2+ 36
anonymous
  • anonymous
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
its negative before the x^2 because the parabola opens downwards
anonymous
  • anonymous
this is the second part which i don't understand that goes with this equation :(
welshfella
  • welshfella
well it a matter of picking a sloped line and choosing which points you want it to intersect the parabola
anonymous
  • anonymous
Ok so which points should I choose? Actually, I'll let you decide.
welshfella
  • welshfella
pick the point where x is -5 and x = 4 you can work out the value of y by plugging these values into the equation.
welshfella
  • welshfella
x = -5 y = -(-5)^2 + 36 x = 4 y = -(4)^2 + 36
anonymous
  • anonymous
so y=41 and y=32 ??
welshfella
  • welshfella
so thats 2 values for your linear function
anonymous
  • anonymous
now what do I do?
anonymous
  • anonymous
What would the table look like?
welshfella
  • welshfella
hmm - i wonder if this is easiest way to do this - anyway we've started it this way so we may as well continue
welshfella
  • welshfella
i've done things wrong way round...
anonymous
  • anonymous
Is that a 6?
welshfella
  • welshfella
scrap all that and build the table first - that's what they asked for anyway
anonymous
  • anonymous
What do you mean?
anonymous
  • anonymous
No matter, we can always start over:)
welshfella
  • welshfella
let the equation of the line be y = x + 10 pick 2 values for x either side of -6 and +6 lets work these 2 points out x = -7 y = -7 + 10 = 3 x = 8 y = 8 + 10 = 18
welshfella
  • welshfella
so thats 2 values on our table
welshfella
  • welshfella
no we need to find the 2 points of intersect on the rainbow we can do this by solving the system of equations y = x + 10 y = -x^2 + 36
welshfella
  • welshfella
-x^2 + 36 = x + 10 x^2 + x - 26 = 0
anonymous
  • anonymous
What what would the table look like?
welshfella
  • welshfella
- yes - thats what we are calculating now
welshfella
  • welshfella
you can solve this by using quadratic formula
anonymous
  • anonymous
Oh sorry!
welshfella
  • welshfella
there will be 2 values for x you can find the correspondimg values of y by subbing in y = x + 10
anonymous
  • anonymous
Ok! I see :)
welshfella
  • welshfella
|dw:1438212449020:dw|
anonymous
  • anonymous
Alright:)
anonymous
  • anonymous
so then we would need 2 more points correct?
anonymous
  • anonymous
just to check, these are 2 points of intersection?
welshfella
  • welshfella
yes solve the quadratic for x theh y = x +10 for the 2 values
welshfella
  • welshfella
* 2 y values
welshfella
  • welshfella
yes
anonymous
  • anonymous
ok! But where did the y=x+10 come from?
welshfella
  • welshfella
the first x value will be between -6 and -5 and second will be between 4 and 5
welshfella
  • welshfella
x = (-1 +/- sqrt(1^1 - 4*1*-26)) / 2
anonymous
  • anonymous
ok, so it could be like -4 for the first and idk for the second
anonymous
  • anonymous
alright :)
welshfella
  • welshfella
that comes to x = 4.62 and - 5.62
welshfella
  • welshfella
gtg right now
anonymous
  • anonymous
u still there?

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