A juggler throws balls into the air during a performance. The path traced by a ball is modeled using a quadratic
function as shown below, where h(t) represents the
height in feet and t represents the time in seconds.
What does the h(t) intercept of the
graph represent?
A the height from which the ball is thrown
B the maximum height reached by the ball
C the time taken for the ball to
reach the ground
D the time taken by the ball to
reach the maximum height

6, 10

9, -13

12, -21

18, -23

step-by-step explanation:

you just add 6 to the x-coordinate and subtract 10 from the y-coordinate.

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)