I need help and Please I need to understand how you received the answer.

In this Essay I am going to explain step by step the problem given: by h(t)=16t²+79t+5

Devin claims that his baseball went higher than Leslie's, and Leslie says that her baseball went higher. So to determine whos ball is higher we would have to rewrite h(t) in a vertex form.

H(t)=-16t^2+79t+5

=-16(t^2)-(79/16t-5/16)

=-16(t^2-29/16t+(79/(2)(16))^2-(79/(2)(16)^2 -5/16)

=-16(t^2-79/(2)(16))^2-(-16)(79/(2)(16))^2+5

=(t^2-79/(2)(16))^2+