x=2t y=2t^2 +1 Express y in terms of x
2007-12-07 20:55:29 · 6 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
2t=x
t=x/2
y=2t^2+1
y=2(x/2)^2+1
y=2(x^2/4)+1
y=x^2/2+1
So,that was easy,..........right?!!
2007-12-07 21:03:21 · answer #1 · answered by Anonymous · 0⤊ 1⤋
Given the parametric equations:
x = 2t
y = 2t² +1
Express y in terms of x.
x = 2t
t = x/2
Plug into the parametric equation for y.
y = 2t² + 1
y = 2(x/2)² + 1
y = 2(x²/4) + 1
y = x²/2 + 1
2007-12-07 21:51:14 · answer #2 · answered by Northstar 7 · 0⤊ 1⤋
This needs parametric equations. Basically rearrange to get t on its own then substitute.
i.e. if x=2t, then t = x/2,
replace y= 2t^2 + 1
with y= 2(x/2)^2 + 1
Solve to get your answer
2007-12-07 21:00:02 · answer #3 · answered by Anonymous · 0⤊ 0⤋
x=2t
=> x^2 = 4t^2 = 2(y - 1)
=> y = (1/2)x^2 + 1
2007-12-07 21:04:52 · answer #4 · answered by Madhukar 7 · 0⤊ 1⤋
x=2t
y=2t²+1=> (1)
t=(x/2)=> (2)
Sunsitute (2) in (1)
y=2((x/2))²+1
y=x²/2 + 1
You can also right is as
y=(x²+2) / 2
2007-12-07 21:00:49 · answer #5 · answered by Murtaza 6 · 0⤊ 1⤋
x=2t y=2t^2 +1 x=2t y
y=x/2t
2007-12-07 21:05:35 · answer #6 · answered by Shrikant R 2 · 0⤊ 3⤋