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anonymous
 5 years ago
the function f is defined for all real numbers x by f(x) = ax^2 + bx + c where a, b and c are constants and a is negative. in the xyplane, the xcoordinate of the vertex of the parabola y =f(x) is 1. If t is a real number for which f(t) > f(0), which of the following must be true.
1: 2 < t < 0
2: f(t) < f(2)
3: f(t) > f(1)
really struggling to conceptualize this...
anonymous
 5 years ago
the function f is defined for all real numbers x by f(x) = ax^2 + bx + c where a, b and c are constants and a is negative. in the xyplane, the xcoordinate of the vertex of the parabola y =f(x) is 1. If t is a real number for which f(t) > f(0), which of the following must be true. 1: 2 < t < 0 2: f(t) < f(2) 3: f(t) > f(1) really struggling to conceptualize this...

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0n22, the answer 1 must be correct. The point c is on the right of vertex x=1.. so values greater then c must be on the "top" of parabola... im drawing..

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yes, but i thought the value of c caused a vertical shift?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0this is a generic chart because c must be any real value.. And you right c causes the vertical shift up or down

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok so also, the answer says that option 3 is correct as well, can you help with that too?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0lets think together..

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0right, and i can't figure out where to go from there...

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ah! do you know the coordinates of the vertex of the parabola formula: Xv=(b/2a) Yv=delta/4a ??

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so b=2a, but "a" is negative...

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so "b" is negative too

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok, but how does that affect t?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i think i'm going to sleep on it...i'm tired. thank you for your help with part 1!!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you're welcome.. but i think the answer 3can be worng... values greater then c must to be in interval on the "top" of parabola.. good look

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i'll make that note for the morning :) good night!
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