PLEASE HELPPPPP
The function F(t)=-t^2+2t+3 models the depth of water (in feet)in large grenade ditch, where t is measured in hours and t=0 corresponds to the moment that a summer storm has ended,
a. Write F(t) in vertex form by completing the square.
b. State and interpret the vertex of y=F(t) as a max. or min. of the real life situation.

Question

PLEASE HELPPPPP
The function F(t)=-t^2+2t+3 models the depth of water (in feet)in large grenade ditch, where t is measured in hours and t=0 corresponds to the moment that a summer storm has ended, 
a. Write F(t) in vertex form by completing the square. 
b. State and interpret the vertex of y=F(t) as a max. or min. of the real life situation.

thomas5267 · Answer

What is a grenade ditch?

anonymous · Answer

sorry it's a drainage ditch @thomas5267

thomas5267 · Answer

Do you know how to complete the square?

anonymous · Answer

not sure can u solve it

thomas5267 · Answer

Suppose the original quadratic equation is $mx^2+nx+u$, completing the square means that you rewrite the quadratic equation into $a(x+b)^2+c$.  
$$
\begin{align*}
a(x+b)^2+c&=a(x^2+2bx+b^2)+c\
&=ax^2+2abx+ab^2+c\
&=ax^2+2abx+(ab^2+c)
\end{align*}
$$
So $a=m$, $2ab=n$ and $u=ab^2+c$

thomas5267 · Answer

Do you have any idea what I am talking about?