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what is the value of \( x \) where \( x^2 – x + 3 \) is a minimum?
=> \( x^2 – x + 3 \)
If a is positive ( a>0 ), the vertex is a MINIMUM.
If a is negative ( a<0 ), the vertex is a MAXIMUM.
a= 1, b= -1, and c =3
Since a is positive, the vertex is a MINIMUM.
X value of the minimum vertex:
\( x = {-b \over 2a} \)
\( x = {- (-1) \over 2} \)
\( x = {1 \over 2} \)
\( x = 0.5 \)