BALL The function h = -1672 + 25t + 5 can be used to represent the height h in feet of a juggler's ball after t seconds of being tossed in the air by a juggler 5 feet tall. Graph the function. Use your graph to estimate the height of a juggler's ball that has been in the air for 1.5 seconds.

Sry all the answers couldn’t fit in the question but I’m putting the rest of the answers r on another question I made

Graph is attached

6.5 feet

Step-by-step explanation:

The function is

We need to find the height of the ball when the ball has been in the air for 1.5 seconds.

So,

The ball is from the ground when the ball has been in the air for 1.5 seconds.

The graph denotes the path of the ball.

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1