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find the maximum y value on the graph of y=f(x)

f(x)= x^2+2x+10=


Hi Bridget;
Are you looking for the maximum or minimum value?
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2 Answers

Maximum value is infinity, since for very large x this function grows to infinity.
Since the coefficient of the xterm is positive, this is the graph of a parabola opening upward toward +infinity.
x = -b/(2a) = -2/(2)(1) = -2/2 = -1
y = f(-b/(2a)) = f(-1) = 9.
(-1, 9)
Minimum value would be 9.