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anonymous
 one year ago
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 xintercept of the function.
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?
Part C: Use your answer in part B to determine the axis of symmetry for f(x)?
@welshfella
anonymous
 one year ago
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 xintercept of the function. 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? Part C: Use your answer in part B to determine the axis of symmetry for f(x)? @welshfella

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welshfella
 one year ago
Best ResponseYou've already chosen the best response.1first simplify the function by taking out 16 so y = 16(t^2 + 2t  24 )

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1can you factor the quadratic in the parentheses?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes hang on one sec please

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So thats it for part A?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0wait what would be the meaning???

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1right now f(t) = the height of the sandbag at t seconds so it you put f(t) = 0 what do the values of t signify?

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1 there will be 2 xintercepts

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok so Part A would be f(t)=−16(t+6)(t−4) where t is equaled to seconds?

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1f(t) = 16(t + 6)( t  4) = 0 find values of t

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1 the x intercepts are values of t when f(t) the height = 0.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So the xintercepts or t are equaled to 6 and 4?

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1right  now you neglect 6 The value t = 4 means the time when height of the sandbag from the ground = 0. That is when it lands.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So Part A is the factored function: f(t)=−16(t+6)(t−4) where the xintercepts or t represents the time in seconds that the sandbag was thrown?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0and the xintercept is (4,0) which represents the time in seconds that the sandbag was thrown?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0for Part b the completing of the square is: (t+1)^2=25 right

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1yes t = 0 is the time when in is thrown and t = 4 = when it lands

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1don't forget the 16

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok so part a is complete!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Wait the 16 for what??

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1part a is complete yes the function is 16(t^2 + 2t  24)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the function is f(t)=−16(t+6)(t−4 For Part B: complete the square: (t+1)^2=25

welshfella
 one year ago
Best ResponseYou've already chosen the best response.116(t^2 + 2t  24) = 16 [ (t + 1)^2  15]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0now I have to find the vertex and decide whether it is a maximum or minimum

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1= 16 [ (t + 1)^2  25]

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1yes it will be a maximum because the coefficient of t^2 is negative

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok so (t+1)^2=25 is a maximum with the vertex or 400??

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1excuse me i 'll be back in a minute or two...

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1right the maximum point on the graph is when t+1 = 0 that s is t = 1 and f(t0 will equal 400 (1,400)

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1the axis of symmetry is the vertical line passing through the point (1,400) which is x = 1

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok I understand thanks so much! Is that everything??

welshfella
 one year ago
Best ResponseYou've already chosen the best response.1oh they talk about f(x) in parts b and c which makes more sense than t as you cant have negative times! so  change all those references to t to x.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok thank you! @welshfella I may need more help on other questions Ill tag you!!!!!!!!
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