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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 xintercept 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)
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 xintercept 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)

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Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0given expression is f(t) where is f(x) or is it a typo ?

Broskishelleh
 one year ago
Best ResponseYou've already chosen the best response.0F(t) is F(x), just replace t with x if you want

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0alright let's factor the right side i have few mints sorry

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0\[\huge\rm f(t)= \color{ReD}{16t^264t+80}\] first take out the common factor

Broskishelleh
 one year ago
Best ResponseYou've already chosen the best response.0The common factor is 8

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0well we need GREATEST common factor

Broskishelleh
 one year ago
Best ResponseYou've already chosen the best response.0Oh, 16 then my mistake

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0yes right and bec leading coefficient is negative we can take out the negative 16

Broskishelleh
 one year ago
Best ResponseYou've already chosen the best response.0Alright that leaves us with \[f(t) = 4 + 5\]

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0aw didn't get the help :( sorry

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0alright when we find the common denominator we should divide all terms by the common factor \[\large\rm \color{blue}{\frac{ 16t^2 }{ 16 }\frac{ 64t }{ 16}+\frac{ 80 }{ 16} }\]\[\large \rm f(t)=16(\color{blue}{t^2+4t5})\] now factor t^2+4t5 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)

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0remember t^2 is same as 1t^2 so in this question leading coefficient is 1
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