FAN AND MEDAL TO WHOEVER CAN HELP ME BEST
Can someone walk me through this..
A sandbag was thrown downward from a building. The function f(t) = -16t^2 - 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

FAN AND MEDAL TO WHOEVER CAN HELP ME BEST
Can someone walk me through this..
A sandbag was thrown downward from a building. The function f(t) = -16t^2 - 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

Can someone please work this through with me so I can understand it??

anonymous · Answer

Did you factor it?

anonymous · Answer

I don't really get how to factor this particular equation.

anonymous · Answer

-16 is a common factor so we can pull it out.
f(t) = -16(t² + 2t - 24)
Can you factor from here?

anonymous · Answer

I did that part but would I factor by grouping or...

anonymous · Answer

You don't need to do it by grouping. This is where you look for 2 numbers that add up to 2 and multiply to -24. Then you put them in separate parentheses with "t"

anonymous · Answer

Look familiar?
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