When the quadratic function $\bm{f}$ is graphed in the $xy$-plane, where $\bm{y}=\bm{f}(\bm{x})$, its vertex is $(-3,6)$. One of the $x$-intercepts of this graph is $\left(-\frac{17}{4},0\right)$. What is the other $x$-intercept of the graph?

The function $f$ is defined by $f(x)=(x+3)(x+1)$ . The graph of $f$ in the $xy$-plane is a parabola. Which of the following intervals contains the $x$-coordinate of the vertex of the graph of $f$ ?

$x+y=12$

$y=x^{2}$

If $(x,y)$ is a solution to the system of equations above, which of the following is a possible value of $x$?

$f(\theta)=-0.28(\theta-27)^{2}+880$

An engineer wanted to identify the best angle for a cooling fan in an engine in order to get the greatest airflow. The engineer discovered that the function above models the airflow $\bm{f}(\bm{\theta})$, in cubic feet per minute, as a function of the angle of the fan $\bm{\theta}$, in degrees. According to the model, what angle, in degrees, gives the greatest airflow?

$$p=20+\frac{16}{n}$$

The given equation relates the numbers $p$ and $n$, where $n$ is not equal to $0$ and $p>20$. Which equation correctly expresses $n$ in terms of $p$?