Question

Rewrite the parametric equations in Cartesian form: x(t)=4+t, y(t)=2sqrt(t).
y=?

Answer 1

Both of these curves are equal to each other.

Explanation:

We have

`x(t) = 4 + t`

and

`y(t) = 2 √(t)`

Solve for t in the x function

`x = 4 + t`

Subsitue this in for t.

`y = 2 √(x - 4)`

We get

a square root function shifted to right 4 units and stretched vertically by a factor of 2.

We can also prove this by graphing.