Question

William is competing in the shot put event at a track meet. The quadratic expression that models the vertical height of the shot put from the ground, in feet, over the horizontal distance traveled, in feet, X, is given below.
-2x^2 + 3x + 5
A.the initial height from which the shot was thrown
B.the maximum height of the shot
C.the time it takes for the shot to reach the ground
D. The horizontal distance covered by the shot.

Answer 1

Answer:

A. 5 units

B. 6.125 units

C. Can't be determined

D. 2.5 units

Step-by-step explanation:

A. initial height is determined by the y-intercept which is 5

B. Maximum height is given by x-coordinate of vertex of the parabola i.e. 6.125

C. As the graph doesn't give any relation between time and height so the time can't be determined

D. horizontal distance is measured by the distanced traveled along x-axis.

Answer 2

If you graph the equation, you will see the vertex is (0.75, 6.125), the y-intercept is (0, 5) and the x-intercept is (2.5, 0). These key points answer the questions below.

A. It starts at 5 feet (y-intercept)
B. The max height is 6.125 feet (vertex)
C. Cannot be found (the graph is about height and distance, not time)
D. If lands 2.5 feet from the start (x-intercept)