91Ó°ÊÓ

Bungee Jumping. Jaime is tied to one end of a 40 -m elasticized (bungee) cord. The other end of the cord is tied to the middle of a bridge. If Jaime jumps off the bridge, for how long will he fall before the cord begins to stretch? (Use 4.9t \(^{2}=s\).)

Solve. $$ x^{3}+1=0 $$

Write a quadratic equation having the given numbers as solutions. $$ \frac{1}{2}, \frac{1}{3} $$

For each of the following, graph the function, label the vertex, and draw the axis of symmetry. $$ h(x)=-\frac{3}{2}(x-2)^{2} $$

a) Find a quadratic function that fits the following data. $$ \begin{array}{c|c} {} & {\text { Number of Daytime }} \\ {\text { Travel Speed }} & {\text { Accidents (for every }} \\ {\text { (in kilometers }} & {200 \text { million }} \\ { \text { per hour } )} & {\text { kilometers driven) }} \\ {60} & {100} \\ {80} & {130} \\ {100} & {200} \end{array} $$ b) Use the function to estimate the number of daytime accidents that occur at \(50 \mathrm{km} / \mathrm{h}\).

Let \(f(x)=x^{2} .\) Find \(x\) such that \(f(x)=11\).

(a) find the vertex, the axis of symmetry, and the maximum or minimum function value and (b) graph the function. $$ f(x)=4 x^{2}+16 x+13 $$

Archery. The Olympic flame tower at the 1992 Summer Olympics was lit at a height of about \(27 \mathrm{m}\) by a flaming arrow that was launched about \(63 \mathrm{m}\) from the base of the tower. If the arrow landed about \(63 \mathrm{m}\) beyond the tower, find a quadratic function that expresses the height \(h\) of the arrow as a function of the distance \(d\) that it traveled horizontally.

For each of the following, graph the function, label the vertex, and draw the axis of symmetry. $$ f(x)=\frac{1}{2}(x-1)^{2} $$

Let \(g(x)=4 x^{2}-2 x-3 .\) Find \(x\) such that \(g(x)=0\)