91Ó°ÊÓ

For the following exercises, describe how the graph of the function is a transformation of the graph of the original function \(f\) . $$ y=f(x)-2 $$

For the following exercises, describe how the graph of the function is a transformation of the graph of the original function \(f\) . $$ y=f(x)-7 $$

For the following exercises, describe how the graph of the function is a transformation of the graph of the original function \(f\) . $$ y=f(x-2)+3 $$

For the following exercises, describe how the graph of the function is a transformation of the graph of the original function \(f\) . $$ y=f(x+4)-1 $$

For the following exercises, determine the interval(s) on which the function is increasing and decreasing. $$ f(x)=4(x+1)^{2}-5 $$

For the following exercises, determine the interval(s) on which the function is increasing and decreasing. $$ g(x)=5(x+3)^{2}-2 $$

For the following exercises, determine the interval(s) on which the function is increasing and decreasing. $$ a(x)=\sqrt{-x+4} $$

For the following exercises, determine the interval(s) on which the function is increasing and decreasing. $$ k(x)=-3 \sqrt{x}-1 $$

For the following exercises, sketch a graph of the function as a transformation of the graph of one of the toolkit functions. $$ f(t)=(t+1)^{2}-3 $$

For the following exercises, sketch a graph of the function as a transformation of the graph of one of the toolkit functions. $$ h(x)=|x-1|+4 $$