Question

A sandbag was thrown downward from a building. The function f(t) = -16t2 - 32t + 128 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)

Answer 1

giving medals for answers!!!!!!!!!!

Answer 2

First take. -16 out
-16(t^2+2t-8)
Can you factor this?

Answer 3

I have no clue how to do any of this...

Answer 4

This factors to the from
-16(t+a)(t+b)
And to get the x intercepts equate to zero and sovereign for t
One of these values of t will be the times when height is zero

Answer 5

* solve for t

Answer 6

well let us understand what the equation meant first

Answer 7

solving for t, or anything is pretty useless if you do not understand what it is

Answer 8

wait so I substitute the 0 for t?

Answer 9

@welshfella ??????????

Answer 10

The function \(f(x) = ax^2 + bx + c \) gives you a general clue about the location or position of the object that is you are working on. The c in the function tells you how high or how far you are starting from.

Answer 11

You are being asked to factor the function \(f(x) = -16t^2 - 32t + 128 \) and was asked to interpret the x-intercepts.
But before you jump into factoring it, you need to remember the general graph for a quadratic equation. It is called a quadratic equation because the highest exponent is 2.