Question

Find a parameterization c(t) for the curve y=x^2 where c(0)=(3,9)

I recognize this as a parabola going from left to right on a graph, but I am stuck in that I don't know how to incorperate c(0)=(3,9). The answer should be in c(t)=(__,__) form.

Step 1

y = x^{2}

Let's assume x = t + a

Then y = (t + a)^{2}

Step 2

c(0) = (3, 9)

Hence, when t = 0, x = t + a...

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