SOLUTION: What is the parabola graph of x-1/8y^2=0

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Question 198906: What is the parabola graph of x-1/8y^2=0
Answer by jojo14344(1512) About Me  (Show Source):
You can put this solution on YOUR website!


Given:
x-%281%2F8%29y%5E2=0 ---> x=%281%2F8%29y%5E2 ---> 8x=y%5E2
y=sqrt%288x%29
This should be a half parabola that opens to the right.
*note: x%3E=0

Let us get the points.

When x = 0
y=0

x=0.50
y=sqrt%288%2A0.50%29=sqrt%284%29=2

x=1
y=sqrt%288%2A1%29=sqrt%288%29=2.828

x=2
y=sqrt%288%2A2%29=sqrt%2816%29=4

x=3
y=sqrt%288%2A3%29=sqrt%2824%29=4.9

x=4
y=sqrt%288%2A4%29=sqrt%2832%29=5.66

x=5
y=sqrt%288%2A5%29=sqrt%2840%29=6.32

We see the points:
drawing%28300%2C300%2C-3%2C8%2C-3%2C8%2Cgrid%281%29%2Cgraph%28300%2C300%2C-3%2C8%2C-3%2C8%29%2Cblue%28circle%280%2C0%2C.10%29%29%2Cblue%28circle%280.50%2C2%2C.10%29%29%2Cblue%28circle%281%2C2.828%2C.10%29%29%2Cblue%28circle%282%2C4%2C.10%29%29%2Cblue%28circle%283%2C4.9%2C.10%29%29%2Cblue%28circle%284%2C5.66%2C.10%29%29%2Cblue%28circle%285%2C6.32%2C.10%29%29%29---->drawing%28300%2C300%2C-3%2C8%2C-3%2C8%2Cgrid%281%29%2Cgraph%28300%2C300%2C-3%2C8%2C-3%2C8%2Csqrt%288x%29%29%2Cblue%28circle%280.50%2C2%2C.10%29%29%2Cblue%28circle%281%2C2.828%2C.10%29%29%2Cblue%28circle%282%2C4%2C.10%29%29%2Cblue%28circle%283%2C4.9%2C.10%29%29%2Cblue%28circle%284%2C5.66%2C.10%29%29%2Cblue%28circle%285%2C6.32%2C.10%29%29%2Cblue%28circle%280%2C0%2C.10%29%29%29


Thank you,
Jojo