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 = 16t2, y = 4t, -? ? t ? ?

A. x = y2

Entire parabola, bottom to top (from fourth quadrant to origin to first quadrant)
B. y = x2

Entire parabola, right to left (from first quadrant to origin to second quadrant)
C. x = y2

Entire parabola, top to bottom (from first quadrant to origin to fourth quadrant)
D. y = x2

Entire parabola, left to right (from second quadrant to origin to first quadrant)


Answer: A

Mathematics

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