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

Sagot :

Answer:

Both of these curves are equal to each other.

Step-by-step explanation:

We have

[tex]x(t) = 4 + t[/tex]

and

[tex]y(t) = 2 \sqrt{t} [/tex]

Solve for t in the x function

[tex]x = 4 + t [/tex]

Subsitue this in for t.

[tex]y = 2 \sqrt{x - 4} [/tex]

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.

View image Аноним
View image Аноним
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