Theory of Intelligence
11TH•Mathematics•Theory Of Quadratic Functions•Question 1

Solution

Find the maximum or minimum value of the following quadratic functions by completing square:

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Solution

We complete the square to write each quadratic in vertex form:

f(x)=a(x−h)2+k f(x)=a(x-h)^2+k

Then:

  • If a>0a>0, the minimum value is kk.
  • If a<0a<0, the maximum value is kk.

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