You plan to have the company light the fireworks from the ground. based on information provided by the company, you’ve determined that the fireworks will have an initial velocity of 192 feet/second. the formula for the vertical motion of an object is h = -16t2 + v0t + h0, where h is the height of the object, h0 is the initial, or starting, height, v0 is the initial velocity, and t is the time in seconds. create a function to model the height of a firework when shot in the air. explain whether the function will have a maximum or a minimum value.

H=-16t^2+192t+0. It will have a maximum because the negative in front of the 16 indicates that the parabola will face downwards

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x