Please Help!!!!! Ill Give a Medal!!!!

A sandbag was thrown downward from a building. The function f(t)=-16r^2-64t+80 shows the height f(t), in feet, of the sandbag after t seconds:

Part A: Factor the function f(t) and use the factors to interpret the meaning of the x-intercept of the function.

Part B: Complete the square of the expression for
f(x) to determine the vertex of the graph of (x). Would this be a maximum or minimum on the graph?

Part C: Use your answer in part B to determine the axis of symmetry for f(x).

Question

Please Help!!!!! Ill Give a Medal!!!!


A sandbag was thrown downward from a building. The function f(t)=-16r^2-64t+80 shows the height f(t), in feet, of the sandbag after t seconds:


Part A: Factor the function f(t) and use the factors to interpret the meaning of the x-intercept of the function.

Part B: Complete the square of the expression for 
f(x) to determine the vertex of the graph of (x). Would this be a maximum or minimum on the graph?

Part C: Use your answer in part B to determine the axis of symmetry for f(x).

anonymous · Answer

$$f(t)=-16t^{2}-64t+80$$

(A) $$-16(t-1)(t+5)$$

So f(t)=0 when t = -5 or t -1

Interpretation "The sandbax hits the ground after 1 second." 

(B)
$$144-16(t+2)^{2}$$

The vertex is at (-144,-2). It is a maximum.

(C) Using part (B) we know the axis of symmetry is the line x =-2.