A ball thrown in space where there is virtually zero gravity would travel in a straight line at a constant speed. The data below was collected.

$$\begin{array}{c|c} \text{Time (s)} & \text{Distance (ft)} \\ \hline 10 & 5.70 \\ 0.2& 8.5 \\ 0.5& 16.6 \\ 0.7& 22.0 \\ 1.5& 43.6 \end{array}$$

Find an equation giving the distance traveled as a function of time.

Determine the axis of symmetry, the vertex, and the $x$ - and $y$-intercepts of each quadratic function. Graph each function.

$f(x)=-3 x^2+3$

Show that $P(-3,2), Q(-2,-1), R(0,3)$, and $S(-1,6)$ are vertices of a parallelogram.

Determine the remainder on dividing $x^4+x^3+x^4+x^2+x+1$ by $x-1$.

Find the slope of the line that passes through the points $(-2,5)$ and $(-6,-4)$.

Using the given information, find the equation of the line.

The line passes through the points $(6,1)$ and $(-3,2)$.

Determine the symmetries of each equation. Then use the properties of symmetry to graph each equation.

$$y=|x-2|$$

Express the equation of the given line in the form $A x+B y+C=0$. Then find the distance from the given point $P\left(x_1, y_1\right)$ to that line. Round answers to the nearest hundredth.

$y$-axis; $P(-5,-7)$

Express the equation of the given line in the form $A x+B y+C=0$. Then find the distance from the given point $P\left(x_1, y_1\right)$ to that line. Round answers to the nearest hundredth.

$$x=3 ; P(5,7)$$

Solve each quadratic equation by factoring.

$$x^2-16 x+55=0$$

Determine the symmetries of each equation. Then use the properties of symmetry to graph each equation.

$$x y^2-1$$

Express each quadratic function in the form $f(x)=a(x-h)^2+k$. Then use transformations of the graph of $f(x)=x^2$ to graph each function.

$$f(x)=-2 x^2-5$$

Solve.

$$-\frac{42}{y}=\frac{y-25}{3}$$

Solve each polynomial equation. If a solution occurs more than once, state its multiplicity.

$$x^3+x^2-9 x-9=0$$