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Answer:
minimum value of function is .
Step-by-step explanation:
Given function represents a parabola.
Now, here coefficient of is positive , so the parabola will be facing upwards and thus the function will be having a minimum.
Now, as we know that minimum value of a parabolic function occurs at
x = .
Where , b represents the coefficient of x and a represents the coefficient of .
here, a = 2 , b = -6
Thus =
=
So, at x = minimum value will occur and which equals
y = 2× -
+ 9 =
.
Thus , minimum value of function is .