Question

3 fill in the blank 33.3 points

1. quadratic function h can be used to represent the height of a ball in feet from the ground after t seconds it was thrown. the function h is graphed below.

how many seconds does it take the ball to hit the ground? type your answer... seconds.
what are the zeros? type your answer... and type your answer...
what is the maximum height of the ball? type your answer... feet

Explanation:

Step1: Find time to hit ground

The ball hits the ground when height $h(t)=0$. From the graph, this occurs at $t=12$ seconds.

Step2: Identify the zeros

Zeros are $t$-values where $h(t)=0$. The graph shows $(0,0)$ and $(12,0)$, so zeros are $t=0$ and $t=12$.

Step3: Find maximum height

The quadratic's vertex (maximum point) is at $(6, 36)$, so the maximum height is 36 feet.

Answer:

1. 12 seconds
2. 0 and 12
3. 36 feet