Answer
A) See the graph below.
B)$(2, 64)$
C)$H(1)=48.38$
D)$t= 4$
Work Step by Step
A) The graph of the function is shown below.
$$\begin{aligned}
H(t) &= -16(t-2).^2+64,\ -1\leq x\leq 5, -5\leq y\leq 70.
\end{aligned}$$ B) The vertex of the function is located at about $(2, 64)$. It describes the maximum height of the toy rocket after about $2$ seconds.
C) From the graph we have $H(1)=48.38$. It is the height of the toy rocket $1$ second later.
D) The rocket will hit the ground at about $t= 4$ seconds later.
