Question

8. A person throws a ball as high as he can and it reaches a height of 25

Answer 1

Answer:

B (The vertex is 2 seconds to go 25 feet high)

Step-by-step explanation:

First, keep in mind that the x-axis represents seconds since the ball was thrown and the y-axis represents its height in feet. Also that the zeros are (0,0) and (4,0) as they represent how many seconds have to pass after the ball is thrown for it to have a height of 0 feet.

You can start by ruling out D because the y intercept is actually (0,0) as the ball hasn't traveled any distance since you haven't thrown it yet.

You can also rule out choice C as the roots are supposed to be x-values (time when the ball's height is 0). In this case, a y-value appears to be a root, which doesn't make sense.

The ball reaching a height of 25 feet implies that 25 is the y coordinate of the vertex.  When you average the x-coordinates of both the zeros (0,0) and (4,0),

you find out that the x-coordinate of the vertex is 2. This means 2 seconds.

In the end, this means that the ball takes 2 seconds to reach 25 feet.