QuestionIdentify the correct graph and the $x$ - and $y$-intercepts of the following polynomial function. Express all points as ordered pairs. $$r(x)=x^{2}-5 x-6$$

Studdy Solution
Using the intercepts, sketch the graph of the polynomial. The parabola opens upwards because the coefficient of $x^2$ is positive. The vertex is between the $x$-intercepts at $x = \frac{6 + (-1)}{2} = \frac{5}{2}$.
The graph passes through the points $(0, -6)$, $(6, 0)$, and $(-1, 0)$.
The $x$-intercepts are $(6, 0)$ and $(-1, 0)$, and the $y$-intercept is $(0, -6)$.