Final answer:
The vertex of the graph is (3,-6) and the axis of the graph is x = 3.
Step-by-step explanation:
To find the vertex and axis of the graph of f(x) = 6x - x² + 3, we need to rewrite the equation in the form y = ax² + bx + c. Comparing it with y = mx + b, we can determine that the slope of the graph is equal to -AH°/R. The vertex of the parabola can be found using the formula x = -b/2a.
In this case, the coefficient of the x² term is -1, the coefficient of the x term is 6, and the constant term is 3. Therefore, the vertex can be calculated as follows:
x = -b/2a = -6/(2*(-1)) = -6/-2 = 3
So, the vertex of the graph is (3,-6) and the axis of the graph is the vertical line passing through the vertex, which is x = 3.