Asked by Anonymous

how do you sketch the curve represented by
x=(√t2+2)
y=t/4?

Answers

Answered by Steve
just like the other one!
pick some values for t, calculate x and y, and plot the points.

First, decide whether you meant

x=?(t^2+2)
or
x=?t^2 + 2)

I suspect the former, since ?t^2 = |t|

So, x is basically just t
y is basically just t.

The graph will be almost a straight line as x gets large. To wit:

http://www.wolframalpha.com/input/?i=parametric+plot+x%3D%E2%88%9A(t%5E2%2B2),+y%3Dt%2F4

Looks like a branch of an hyperbola, no? Let's see

t = 4y
x=?(t^2+2)
=?(y^2/16+2)
x^2 = y^2/16 + 2
x^2/2 - y^2/32 = 1

Yep - an hyperbola. For large x, the graph approaches the asymptotes.
Answered by Steve
you can either
(a) find and fix my typo
(b) read bobpursley's solution, which is correct.
There are no AI answers yet. The ability to request AI answers is coming soon!

Related Questions