\( \left. \begin{array} { l } { 5.2429 } \\ { 189 } \\ \hline 89 \end{array} \right. \)

What transformations change the graph of \( f(x) \) to the graph of \( g(x) \) ? \( f(x)=x^{2} g(x)=(x+5)^{2}+5 \) a The graph of \( g(x) \) is the graph of \( f(x) \) translated to the down 5 units and right 5 units. o o The graph of \( g(x) \) is the graph of \( f(x) \) translated to the left 5 units and up 5 units. d the graph of \( g(x) \) is the graph of \( f(x) \) translated to the right 5 units and down 5 units.

How are the functions \( y=x \) and \( y=x-1 \) related? How are their graphs related? Each output for \( y=x-1 \) is 1 more than the corresponding output for \( y=x \). The graph of \( y=x-1 \) is the graph of \( y=x \) translated down 1 unit. Each output for \( y=x-1 \) is 1 less than the corresponding output for \( y=x \). The graph of \( y=x-1 \) is the graph of \( y=x \) translated up 1 unit. Each output for \( y=x-1 \) is 1 more than the corresponding output for \( y=x \). The graph of \( y=x-1 \) is the graph of \( y=x \) translated up 1 unit. The graphof \( y=x-1 \) is thegraphaf \( y-x \) t tuaplates doun 1 urit. Each output for \( y=x-1 \) is 1 less than the corresponding output for \( y=x \). The graph of \( y=x-1 \) is the graph of \( y=x \) translated down 1 unit.

\( \begin{array}{ll}\begin{array}{l}\text { Crude oil may contain hundreds of different types } \\ \text { of hydrocarbons. Some examples include: }\end{array} & \begin{array}{l}\text { Identify each of the highighted materials as an } \\ \text { element, a compound, or a mixture, and explain } \\ \text { your reasoning. }\end{array} \\ \text { - Butane }\left(\mathrm{C}_{4} \mathrm{H}_{10}\right) & \\ \text { - Dodecane }\left(\mathrm{C}_{12} \mathrm{H}_{26}\right) & \\ \text { - Benzene }\left(\mathrm{C}_{6} \mathrm{H}_{6}\right) & \\ \text { Many common fuels, such as gasoline and } \\ \text { kerosene, are combinations of these substances } \\ \text { or others. When these fuels burn, they combine } \\ \text { with oxygen }\left(\mathrm{O}_{2}\right) \text { to produce carbon dioxide }\left\{\mathrm{CO}_{2}\right) & \\ \text { and water }\left(\mathrm{H}_{2} \mathrm{O}\right) \text {. }\end{array} \)

\( \begin{array}{llll}\frac{2}{3} & \text { B) } \frac{3}{16} & \text { C) } 1 \frac{13}{16} & \text { D) } 1 \frac{1}{8} \\ 2010 \frac{2009}{2010} \cdot 2011 \frac{2009}{2010}-2009 \frac{2009}{2010} \cdot 2012 \frac{2009}{2010}\end{array} \)

Does the equatation \( x^{2}+y^{2}=16 \) define \( y \) as a function of \( x \) ?