Question

A problem involving a ball being thrown in the air is modeled with a quadratic function. Which of the following would you be solving for if asked to find the time at which the ball will reach its maximum height?

A.
an x-intercept of the graph
B.
the y-intercept of the graph
C.
the x-coordinate of the vertex
D.
the y-coordinate of the vertex

Is it C?

Answer 1

normally, the y is height, and x is time.

Answer 2

Since it is asking for time, is C correct?

Answer 3

yes, of course.

Answer 4

[AI-generated answer — Explain Bot]

Yes, it is C. When the ball reaches its maximum height, it reaches the highest point on the parabolic graph created by the quadratic function. This highest point is also known as the vertex of the parabola. The x-coordinate of the vertex represents the time at which the ball reaches its maximum height. Therefore, to find the time at which the ball will reach its maximum height, you need to solve for the x-coordinate of the vertex.