The seat on a swing set sits 3 feet off the ground. The chains that are attached to the seat are 74 inches long. Suppose you were to swing: the path of the swing forms a parabola. Interpret the y-value of the vertex, in terms of the context.(1 point)

Question

Responses

y≤3
y less-than-or-equal-to 3

y≤74
y less-than-or-equal-to 74

y=3
y equals 3

y=all real numbers

Answer 1

In this context, the swing seat is 3 feet off the ground, which represents the maximum height of the swing seat above the ground when it is at its highest point. The vertex of the parabolic path formed by the swing represents this maximum height.

Therefore, the y-value of the vertex, in terms of the context, would be:

y = 3

This indicates that the highest point the seat reaches is 3 feet from the ground.