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BabaBlast [244]
2 years ago
15

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

Mathematics
1 answer:
Dmitriy789 [7]2 years ago
6 0

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.

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