Parametric equations and a parameter interval for the motion of a particle in the xy-plane are given. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion.x = 4t2, y = 2t, -? ? t ? ?
A. x = y2
Entire parabola, bottom to top (from fourth quadrant to origin to first quadrant)
B. y = x2
Entire parabola, left to right (from second quadrant to origin to first quadrant)
C. y = x2
Entire parabola, right to left (from first quadrant to origin to second quadrant)
D. x = y2
Entire parabola, top to bottom (from first quadrant to origin to fourth quadrant)
Answer: A
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