The point (2, 1) is the turning point of the graph with equation y = x² + ax + b, where a and b are integers. The values of a and b are a = -3 and b = 3.
What is Differentiation ?
Differentiation is defined as a process of finding the derivative, or the instantaneous rate of change of the function which is based on the one of its function.
Given the equation is
y = x² + ax + b ......(i)
Given the point is (2,1)
Now differentiate the given equation
y' = 2x + a .....(ii)
Now substitute the values of the point (2,1) in equation (ii)
y' = 2x + a
1 = 2 × 2 + a
1 = 4 + a
a = 1 - 4
a = -3
Now put the value of a in equation (i)
y = x² + ax + b
Now substitute the values of a and point (2,1)
y = x² + ax + b
1 = 2 × 2 + (-3) × 2 + b
1 = 4 - 6 + b
1 = -2 + b
b = 1 + 2
b = 3
So now the values of a and b are a = -3 ,b = 3.
Learn more about the Differentiation here: brainly.com/question/954654
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