I am so confused... The parametric equations x= t^2, y=t^4 have the same graph as x=t^3, y=t^6 ?

Question

I am so confused... The parametric equations x= t^2, y=t^4 have the same graph as x=t^3, y=t^6  ?

hartnn · Answer

thats correct , if u observe , from x= t^2 and y= t^4
u have 
y= x^2 
right??
similarly from x=t^3 and y = t^6 , u will have y= x^2
hence both will have same graph of y=x^2
makes sense??

anonymous · Answer

oooook thanks!

hartnn · Answer

welcome :)

anonymous · Answer

in the first case the graph is always confined in the first quadrant
but in the second case the graph is cofined to both the first and the second quadrant and is symmetric about upper half of y-axis...

hartnn · Answer

how did u conclude 'in the first case the graph is always confined in the first quadrant'
@matricked  ? ?
i think it will be same as 2nd graph u mentioned.

anonymous · Answer

whatever real values t takes x and y are both positive in the first case
but if t is negative in the second case x is negative though it is that for both cases y= x^2