a) The graph of \( y=f(x) \) is shown. Translate it to get the graph of \( y=f(x)-4 \). b) The graph of \( y=g(x) \) is shown. Translate it to get the graph of \( y=g(x+2) \).

\( f(x)=\left\{\begin{array}{ll}x+9 & \text { si } x<-3 \\ -2 x & \text { si }|x|=3 \\ -6 & \text { si } x>3\end{array}\right. \)

The retail flat rate in dollars for first-class mail weighing up to 5 ounces could be computed by the piecewise-constant function \( f \), where \( x \) is the number of ounces. (a) Evaluate \( f(2.7) \) and \( f(4) \). Interpret your results. (b) Sketch a graph of \( f \). What is the domain of \( f \) ? What is the range of \( f \) ?

\( \begin{array}{l}\text { As a result of the transformation of the graph of } y=f(x) \text { into the graph of }-\frac{1}{9}(y-4)=f\left[\frac{1}{2} x+4\right] \text {, point } \\ (7,-2) \text { becomes point }(p, q) \text {. } \\ \text { Numerical Response } \\ \text { 7. The values of } p \text { and } q \text { are and _-_ } \\ \text { (Record your answer in the numerical-response section on the answer sheet) }\end{array} \).

Transformations \( y=f(x) \) is stretched vertically about the \( x \) axis by a factor of 2 , reflected in the \( y \) axis and translated 1 unit up and four units to the left. 12. An equation for \( g(x) \) in terms of \( f(x) \) is A. \( g(x)=2 f(-x-4)+1 \) B. \( g(x)=2 f(-x+4)+1 \) C. \( g(x)=-\frac{1}{2} f(x+4)-1 \) D. \( g(x)=-\frac{1}{2} f(x-4)-1 \)

Graticar por tabolación las funciones a) \( f(x)=5(1 / 2)^{x} \rightarrow \) Decrece.