Question

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

Answer 1

Answer:

Both of these curves are equal to each other.

Step-by-step explanation:

We have

$x(t) = 4 + t$

and

$y(t) = 2 \sqrt{t}$

Solve for t in the x function

$x = 4 + t$

Subsitue this in for t.

$y = 2 \sqrt{x - 4}$

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.