Determine Point C on the Quadratic Curve of f(x) = x² - 6x + 8

The following function has been graphed below:

$f(x)=x^2-6x+8$

Calculate point C.

To solve for point C on the graph of the function $f(x) = x^2 - 6x + 8$, we will determine the y-intercept of the graph.

According to the properties of a quadratic function, the y-intercept is found by evaluating the function at $x = 0$. This provides the point where the graph crosses the y-axis.

Substituting $x = 0$ in the equation:

$f(0) = (0)^2 - 6 \times 0 + 8 = 8$

Thus, the y-coordinate of the intercept, and point C, is 8. Hence, point C is located at $(0, 8)$.

Therefore, the solution to the problem is $(0, 8)$.