Question

Can someone walk me through the steps to make sure that I am doing the right thing?

Eliminate the parameter in the parametric equations x = (1/4)t and y = t2 and write the rectangular equation whose graph represents the curve.

Answer 1

I think it is y=16x^2

Answer 2

yes

Answer 3

So that is the right answer?

Answer 4

yes. x = (1/4) t so t = 4x (multiply both sides by 4)
and t^2 = 16x^2 (square both sides)
they say y = t^2 to y = 16 x^2

Answer 5

Now the plus or minus from the square root goes away at the end, right?

Answer 6

I doesn't matter, correct?

Answer 7

what square root ?
you start with
x = (1/4)t and y = t^2

if you do as posted above, you never take the square root.

Answer 8

Oh. Nevermind... Lol.

Answer 9

Thanks. I looked at the wrong problem.

Answer 10

you could do
y = t^2
sqrt(y)= t
x= (1/4)*sqrt(y)

and you probably should take just the positive root

Answer 11

Yeah, that's what I did... Ah!
It's been a long week..., but thanks.