Question 202496
f(x) =y=-3(x+12)^2 -14
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(y +14) = -3 (x+12)^2
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standard  form  is,,,,,,(y-k) = A (x-h)^2,  with  (h,k)  as  vertex
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from  above  h= -12,,,and k = -14,,,
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therefore,  vertex  is  ( -12,-14)
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to  check,,,A= (-3)  which  means  it  is  pointed  down
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check  on  either  side  of  vertex  for  confirmation
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@ x= -13,  y= -3(-13+12)^2 -14,,y= -17,,,which  is  lower  than -14
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@ x=-11, y= -3(-11+12)^2 -14,,,y = -17,,,which  again  is  lower  than  -14.
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This  confirms  vertex,  and  downward pointing  of  parabola.