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)

Responses

y=3
y equals 3

y≤74
y less-than-or-equal-to 74

y≤3
y less-than-or-equal-to 3

y=
all real numbers

1 answer

In the context of the swing set, the y-value of the vertex represents the maximum height of the seat of the swing. Since the seat sits 3 feet off the ground, the y-value of the vertex is:

y = 3

This indicates that the highest point the seat can reach is 3 feet above the ground. Therefore, the correct interpretation in this context is:

y = 3