g(x)=x^2+bx+11. the point (-1,8) lies on the graph of g. find the value of b.

Answer:
b = 4
Step-by-step explanation:
Let the given function is,
g(x) = x² + bx + 11
If a point (x, y) lies on the graph of this function, coordinates of the given point will satisfy the equation of the function.
If a point (1, 8) lies on the graph of the given function,
g(-1) = (-1)² + b(-1) + 11 = 8
1 - b + 11 = 8
12 - b = 8
b = 12 - 8
b = 4
Therefore, b = 4 will be the value of b.
The value of b is 4.
Given that,
Based on the above information, the calculation is as follows:
Here we put -1 in place of x
So,
[tex]g(-1) = (-1)^2 + b(-1) + 11 = 8[/tex]
1 - b + 11 = 8
12 - b = 8
b = 12 - 8
b = 4
Therefore we can conclude that the value of b is 4.
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