## Broskishelleh one year ago A sandbag was thrown downward from a building. The function f(t) = -16t2 - 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. (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)

1. Broskishelleh

2. Nnesha

given expression is f(t) where is f(x) or is it a typo ?

3. Broskishelleh

F(t) is F(x), just replace t with x if you want

4. Nnesha

alright let's factor the right side i have few mints sorry

5. Broskishelleh

It's fine

6. Nnesha

$\huge\rm f(t)= \color{ReD}{-16t^2-64t+80}$ first take out the common factor

7. Broskishelleh

The common factor is 8

8. Nnesha

well we need GREATEST common factor

9. Broskishelleh

Oh, 16 then my mistake

10. Nnesha

yes right and bec leading coefficient is negative we can take out the negative 16

11. Nnesha

and sorry gtg :(

12. Broskishelleh

Alright that leaves us with $f(t) = -4 + 5$

13. Broskishelleh

Okay bye

14. Nnesha

aw didn't get the help :( sorry

15. Nnesha

alright when we find the common denominator we should divide all terms by the common factor $\large\rm \color{blue}{\frac{ -16t^2 }{ -16 }-\frac{ 64t }{ -16}+\frac{ 80 }{ -16} }$$\large \rm f(t)=-16(\color{blue}{t^2+4t-5})$ now factor t^2+4t-5 there are more than 3 ways to factor o the quadratic equation you can use AC method(easy) find two number when you multiply them you should get product of AC (a=leading coefficient , c=constant term) and when you add or subtract them you should get middle term(b)

16. Nnesha

remember t^2 is same as 1t^2 so in this question leading coefficient is 1