Final answer:
Without a specific context or connection to a given scenario, it's not possible to determine which option is the correct parametric equation for x and y solely based on the information provided.
Step-by-step explanation:
The student's question involves finding the parametric equation for x and y. A parametric equation expresses the coordinates of the points making up a curve as functions of a variable, usually denoted as t. Based on the provided information, it seems we need to identify the correct pairing of x(t) and y(t) from the given options.
However, without a specific context or a connection between the options and a given scenario or trajectory equation, it is not possible to determine which option is the correct parametric equation. Typically, the correct parametric equations would be derived from a known relationship, such as the equation of a line, a parabola, or some other curve described by the motion or path of an object according to given conditions.
Since the student mentioned an initial condition of yo = 0 and a final position y = -1.0000 m, it suggests a physical scenario, possibly related to motion under gravity. However, with no explicit link to any of the given parametric equations, there's insufficient information to pinpoint the correct equations for x and y. A kinematic equation in physics might be used if the context is projectile motion, but again, the connection to these specific options is not clear.