A parabola opening downward is shown in the first quadrant of a coordinate grid to model the motion of a baseball.A parabola opening downward is shown in the first quadrant of a coordinate grid to model the motion of a baseball. The graph is labeled with the description Motion of a Baseball. The x axis goes from 0 to 10 and is labeled Time in seconds. The y axis goes from 0 to 80 and is labeled Height in feet. The parabola begins on the y axis at y equals 5, passes through the vertex at the point left-parenthesis 5 comma 75 right-parenthesis, and ends on the x axis at approximately 9.8.

Question

Question
Use the graph to answer the question.
A batter hits a baseball into the air at an angle. The height of the ball, in feet, is modeled by a quadratic function h left-parenthesis t right-parenthesis, where t represents time, measured in seconds. Use the graph of the function to determine which of the following statements most accurately models the height of the ball 5 seconds after it was hit.
(1 point)
Responses

h left-parenthesis 5 right-parenthesis equals 75
Image with alt text: h left-parenthesis 5 right-parenthesis equals 75

h left-parenthesis 5 right-parenthesis equals 70
Image with alt text: h left-parenthesis 5 right-parenthesis equals 70

h left-parenthesis 5 right-parenthesis equals 0
Image with alt text: h left-parenthesis 5 right-parenthesis equals 0

h left-parenthesis 0 right-parenthesis equals 5
Image with alt text: h left-parenthesis 0 right-parenthesis equals 5

Answer 1

Based on the description of the graph, we know the parabola's vertex is at the point (5, 75). This means that at 5 seconds, the height of the baseball is at its maximum, which is 75 feet.

Therefore, the correct statement that most accurately models the height of the ball 5 seconds after it was hit is:

h(5) = 75.