QuestionFor a parabola in general form, $f(x)=a x^{2}+b x+c$, where $a \neq 0$. If $a<0$ then the range of $f(x)$ is

Studdy Solution
Since the parabola opens downward (because $a<0$), the range of $f(x)$ is all values less than or equal to the y-coordinate of the vertex:
$$\text{Range}(f(x)) = \left( -\infty, \frac{-b^2}{4a} + c \right]$$