text: ##### (c) Find its maximum or minimum value. f(x) =
  
  label Algebra
  account_circle Unassigned
  schedule 1 Day
  account_balance_wallet \$5
  
  f(x) = 8x2 − 16x + 1
  (a) Express the quadratic function in standard form.
   f(x) =
  
  (c) Find its maximum or minimum value.
  
  f(x) =
  
  Jul 6th, 2015
  
  The given equation is 8 x^2-16x+1
  
  Here a= 8, b= -16 and c= 1
  
  Using the formula
  
  x= -{b+-(b^2-4ac)}/2a Put the values of a,b and c.
  
  We get x1= 1+1/4 sqrt 14
  
  x2= 1-1/4 sqrt 14
  
  To find the maximum and minimum value, we will use Perfect square method.
  
  Make the coefficient of  positive by multiplying it by  in case.
  Maxima / Minima is decided from the sign of 'a'.
  If 'a' is positive then we have Minima and for 'a'negative we have Maxima.
  
  Step two:
  Now make the perfect square with the same  and  coefficient.
  
  Maxima / Minima lies at the point where this squared term is equal to zero.
  
  Hence,
  =>
  
  This point is a minima if value of coefficient of x2 is positive and vice versa. For our function the point x=1 is a .
  
  Jul 6th, 2015
  
  ...
  Jul 6th, 2015
  ...
  Jul 6th, 2015
  Oct 18th, 2017
  check_circle
explanation: The text extract contains a math question related to a quadratic function. The question asks to express the quadratic function in standard form and to find its maximum or minimum value. However, the extract does not contain an answer to the question.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: ##### (c) Find its maximum or minimum value. f(x) =
  
  label Algebra
  account_circle Unassigned
  schedule 1 Day
  account_balance_wallet \$5
  
  f(x) = 8x2 − 16x + 1
  (a) Express the quadratic function in standard form.
   f(x) =
  
  (c) Find its maximum or minimum value.
  
  f(x) =
  
  Jul 6th, 2015
  
  The given equation is 8 x^2-16x+1
  
  Here a= 8, b= -16 and c= 1
  
  Using the formula
  
  x= -{b+-(b^2-4ac)}/2a Put the values of a,b and c.
  
  We get x1= 1+1/4 sqrt 14
  
  x2= 1-1/4 sqrt 14
  
  To find the maximum and minimum value, we will use Perfect square method.
  
  Make the coefficient of  positive by multiplying it by  in case.
  Maxima / Minima is decided from the sign of 'a'.
  If 'a' is positive then we have Minima and for 'a'negative we have Maxima.
  
  Step two:
  Now make the perfect square with the same  and  coefficient.
  
  Maxima / Minima lies at the point where this squared term is equal to zero.
  
  Hence,
  =>
  
  This point is a minima if value of coefficient of x2 is positive and vice versa. For our function the point x=1 is a .
  
  Jul 6th, 2015
  
  ...
  Jul 6th, 2015
  ...
  Jul 6th, 2015
  Oct 18th, 2017
  check_circle
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The text extract contains a math question related to a quadratic function. The question asks to express the quadratic function in standard form and to find its maximum or minimum value. However, the extract does not contain an answer to the question.
  
  Label: question
  Jul 6th, 2015
  check_circle