Find a parametrization for the curve. The upper half of the parabola x

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Find a parametrization for the curve. The upper half of the parabola x−1 = y2 Choose the correct answer below. A. x =t2+1 , y =t,t≥0B. x =t, y =t2−1 ,t≥0C. x =t, y =t2+1 ,t≤1D. x =t2−1 , y =t,t≥1E. x =t, y =t2−1 ,t≥1F. x =t2+1 , y =t,t≤0

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Find a parametrization for the curve.
The upper half of the parabola

x - 1 = y^{2}

Choose the correct answer below.
A.

x = t^{2} + 1, y = t, t \geq 0

x = t, y = t^{2} - 1, t \geq 0

x = t, y = t^{2} + 1, t \leq 1

x = t^{2} - 1, y = t, t \geq 1

x = t, y = t^{2} - 1, t \geq 1

x = t^{2} + 1, y = t, t \leq 0

Explanation & Steps

First of all plot the the curve and determine the range of x and y coordinates for upper half of the parabola. Now determine whether x or y should equal to t and determine x or y in terms of t. Range of t should be determined based on the ranges of x and y coordinate.