You are trying to dunk a basketball. you need to jump 2.5 feet. in the air to dunk the ball. the height that your feet are above the ground is given by the function h (t)=-16ft+12. what is the maximum height your feet will be above the ground? will you be able to dunk the basketball

1)he maximum height your feet will be above the ground is 12

2)Will you be able to dunk the ball= yes

Step-by-step explanation:

Given:

In order to dunk the basket ball, height needed to jump= 2.5 feet

The height that your feet need to be of the ground is given by the function h(t)= -16t^2+12

1) the maximum height your feet will be above the ground=?

Given function of height,h(x)=-16t^2+12

finding maximum of the above function

The maximum of any function written in form of ax^2+bx+c is given by

max= c - (b2 / 4a)

Putting values c=12, b=0 and a=16, we get

max= 12-(0^2/4(-16))

      = 12 -0

      =12 feet

he maximum height your feet will be above the ground is 12 feet.

2)  Will you be able to dunk the ball=?

As the maximum height the feet will be above the ground is 12 feet which is greater than the height needed to jump in the air to dunk the ball 2.5 feet  i.e.

12>2.25

hence yes you will not be able to dunk the ball !

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1

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step-by-step explanation: