Question 202264
Basic  form  for  a  parabola  is ,,,,(y-k) = A ( x-h)^2,,,where (h,k(  is  vertex,,,,and  sign  of  A indicates (upward if  positive) or  (downward  if  negative)
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y= -(x-2)^2 +3
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(y-3) = (-1) (x-2)^2,,,A=-1,,,k=3,,,h=2
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the  vertex is  at (2,3) pointing  downward,,,,therefore  this is  a  max
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to  check,  look  at  coordinates  just  before  and  after  vertex
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if  x=1.75,  y=-.0625
if x= 2.25,,,y=-.0625
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since  both  are  lower than  (3),  it  is  a  max  and  parabola  is  pointed  downward