Answer the questions below about the quadratic function.
$$g(x)=-x^2+4x-6$$
Does the function have a minimum or maximum value?
Minimum
Maximum
Where does the minimum or maximum value occur?
$$x=$$
What is the function's minimum or maximum value?

Step 1 ：The given function is a quadratic function of the form $f(x)=a{x}^2+bx+c$, where $a=-1$, $b=4$, and $c=-6$.

Step 2 ：Since the coefficient of $x^2$ (i.e., $a$) is negative, the parabola opens downwards. This means the function has a maximum value.

Step 3 ：The maximum or minimum value of a quadratic function $f(x)=a{x}^2+bx+c$ occurs at $x=-b/(2a)$.

Step 4 ：The maximum or minimum value of the function is $f(-b/(2a))$.

Step 5 ：Let's calculate these values.

Step 6 ：$a=-1$, $b=4$, $c=-6$

Step 7 ：$x_{vertex}=2.0$

Step 8 ：$ma{x}_{value}=-2.0$

Step 9 ：The x-coordinate of the vertex (where the maximum value occurs) is 2.0 and the maximum value of the function is -2.0. These are the answers to the questions.

Step 10 ：Final Answer: The function has a maximum value. The maximum value occurs at $x=2.0$. The maximum value of the function is $\boxed{{\displaystyle -2.0}}$.