Solve for A and B: Analyzing the Quadratic Graph of f(x) = x² - 6x

To solve for the points A and B, where the graph of $f(x) = x^2 - 6x$ intersects the x-axis, let's solve the equation $f(x) = 0$:
1. Write the equation in standard form:
$x^2 - 6x = 0$.

2. Factor the quadratic equation:
$x(x - 6) = 0$.

3. Set each factor equal to zero:
$x = 0$ or $x - 6 = 0$.

4. Solve each equation for $x$:
$x = 0$ and $x = 6$.

Thus, the points where the function intersects the x-axis, also the points A and B, are $(0,0)$ and $(6,0)$.

Therefore, the solution to the problem is $(6,0), (0,0)$.