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

Studdy Solution
olve the equation $x+8=0$ for $x$.
$$x=-8$$So, the $x$-intercepts are $(0,0)$ and $(-8,0)$.
In conclusion, the graph of the function $f(x)=x^{2}+8 x$ opens up, its vertex is $(-4, -16)$, its axis of symmetry is the line $x=-4$, its $y$-intercept is $(0,0)$, and its $x$-intercepts are $(0,0)$ and $(-8,0)$.