QuestionFor the function $f(x)=-x^{2}+8x$, find its vertex, axis of symmetry, and intercepts. Does it open up or down?

Studdy Solution
Set each factor equal to zero and solve for $x$$$x=0, x=8$$So, the $x$-intercepts are $(0,0)$ and $(8,0)$.
In conclusion, the graph of the function opens down, the vertex is $(4,)$, the axis of symmetry is $x=4$, the $y$-intercept is $(0,0)$, and the $x$-intercepts are $(0,0)$ and $(8,0)$.