Parametric Equations for Curve y = 2 - 7x^3 at Point (0,2,25)

[-EquinoX-]

Homework Statement

Find parametric equations for the curve y = 2 - 7x3 through the point (0, 2, 25), parallel to the xy-plane.

Homework Equations

The Attempt at a Solution

The answer is:
x(t) = t
y(t) = 2-7t^3
z(t) = 25

but I don't know how to get there. Any help please?

 

[Dick]

What's the problem? It looks like they want you to take the curve y=2-7x^3 in the x-y (z=0) plane and translate up to the z=25 plane and express in parametric form. This is far from the hardest problem you've posted.

 

[-EquinoX-]

well.. I don't know how to get the parametric equations from this..

 

[Dick]

Here's a 'simpler' example. The curve is y^2=x in the plane. Pick t=y. Then y(t)=t and x(t)=y(t)^2=t^2 is the parametric version.

 

[-EquinoX-]

I know how to do y^2

 

[Dick]

I know how to do y^2

How is your problem different?