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In the xy-plane, the point (3, 6) lies o...

In the xy-plane, the point (3, 6) lies on the graph of the function `f(x)=3x^(2)- bx+12`. What is the value of b?

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AI Generated Solution

To find the value of \( b \) in the function \( f(x) = 3x^2 - bx + 12 \) given that the point \( (3, 6) \) lies on its graph, we can follow these steps: ### Step 1: Substitute the point into the function Since the point \( (3, 6) \) lies on the graph, we can substitute \( x = 3 \) and \( f(x) = 6 \) into the function. This gives us the equation: \[ 6 = 3(3^2) - b(3) + 12 \] ...
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