A sandbag was thrown downward from a building. The function f(t) = -16t2 - 32t + 384 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. (4 points)

Part B: Complete the square of the expression for f(x) to determine the vertex of the graph of f(x). Would this be a maximum or minimum on the graph? (4 points)

Part C: Use your answer in part B to determine the axis of symmetry for f(x)? (2 points)

Question

A sandbag was thrown downward from a building. The function f(t) = -16t2 - 32t + 384 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. (4 points)

Part B: Complete the square of the expression for f(x) to determine the vertex of the graph of f(x). Would this be a maximum or minimum on the graph? (4 points)

Part C: Use your answer in part B to determine the axis of symmetry for f(x)? (2 points)

anonymous · Answer

@iambatman  @mathmale @primeralph @Luigi0210

primeralph · Answer

Start.

anonymous · Answer

I have graphed it even though i need to explain why, so im just studying thegraph for help

anonymous · Answer

To begin you cvan remove a 16 from the entire equation

anonymous · Answer

Right?

primeralph · Answer

Just factor it.

anonymous · Answer

then you split the four into the two groups (-t^2-t)(-t+24)

anonymous · Answer

sorry 16(-t^2-t)(-t+24)

anonymous · Answer

set y to zero (-t^2-t)=0 and (-t+24)=0 then add t and  to bothto get 24=t and -t^2=t

anonymous · Answer

wait what? @Kainui @iambatman

anonymous · Answer

@iambatman @mathslover @Compassionate

primeralph · Answer

Yeah, you have the procedure correct.