Babynini
  • Babynini
Equation for lower half of parabola.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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Babynini
  • Babynini
Find an eq for the lower half of the parabola, without restriction. (y-5)^2 = 4x-2
hwyl
  • hwyl
it says for the lower half
zepdrix
  • zepdrix
It's a parabola opening to the RIGHT, ya? So if you drew it, you would see that it `fails the vertical line test`. We want to show that either branch of the parabola IS a function. So we'll end up with y=(plus/minus) squareroot(x stuff) and to get the LOWER Half of the parabola, we want the negative of that root.

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zepdrix
  • zepdrix
Do you understand how to get it into the form y=stuff from what they've given you? :)
Babynini
  • Babynini
em i'm trying but i'm getting it wrong.
zepdrix
  • zepdrix
You ... you and your ways miriam -_- ok let's see where we're going wrong,\[\Large\rm (y-5)^2 = 4x-2\]
zepdrix
  • zepdrix
square root as first step, ya?
zepdrix
  • zepdrix
\[\Large\rm y-5=\pm\sqrt{4x-2}\]Add some 5 business in there,\[\Large\rm y=\pm\sqrt{4x-2}+5\]
zepdrix
  • zepdrix
We want the lower branch, ya? So we only want the negative root,\[\Large\rm y=-\sqrt{4x-2}+5\]
Babynini
  • Babynini
I was simplifying first and that was making it come out wrong
zepdrix
  • zepdrix
|dw:1433476275143:dw|
zepdrix
  • zepdrix
woops i buried the wrong solution in the picture -_- hehe
zepdrix
  • zepdrix
Oh simplifying? i see
Babynini
  • Babynini
aww lightbulbs stil haha
Babynini
  • Babynini
it's ok, it's fabulous ;D
zepdrix
  • zepdrix
heh :3

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