The height h in metres above the ground of a projectile at any time t in seconds after the launch is defined by the function h(t)=-4t +48t +3

Question

A.) Complete the square to write H in standard form
b.) Find the height of the projectile three seconds after the launch
c.) Find the maximum height reached by the projectile
D.) how many seconds after the launch is the maximum height reached

e.) what was the height of the projectile at the launch

f.) determine when the projectile hits the ground to the nearest tenth of a second

I only got a.) but not sure if its right
-4(t-6)^2+147

Question #2: Ashley was asked by her math teacher to find two numbers which differ by 8 and whose product is a minimum .

a.) if X represents the smaller number write a quadratic expression in x for the product of the two numbers

b.) write the product and completed square form

c.) determine the numbers and the minimum product

Thanks :)

Answer 1

55 is the product of Chau's height and
5