91Ó°ÊÓ

Measurement One meter equals about 39.37 in. Write a function rule for converting inches to meters. Evaluate the function for 59 in.

Describe each translation of \(f(x)=|x|\) as vertical, horizontal, or combined. Then graph each translation. \(f(x)=|x|-3\)

Graph each absolute value equation. $$ y=\left|-\frac{1}{4} x-1\right| $$

Suppose you plot data with years as the independent variable. What type of translation are you making when you start with \(x=0\) rather than a year such as 1998\(?\) Explain.

Write an equation for a direct variation with a graph that passes through each point. \((7,2)\)

a. Graph the parent function \(f(x)=x\) and the function \(g(x)=3 x\) on a coordinate plane. b. Translate the second graph 5 units up. Write an equation for the new line. c. Translate the graph from part (b) 2 units right. Write an equation for the new line. d. Which equation describes the line you graphed in part (c)? A. \(y=3 x+5\) \(\quad\) B. \(y=3 x+2\) \(\quad\) C. \(y=3 x-2\) D. \(y=3(x-5)+2\) \(\quad\) E. \(\cdot y=3(x-2)+5\) e. Write the equation of the translation of \(y=m x\) that has a graph passing through point \((h, k) .\)

Graph each absolute value equation. $$ y=-|x-3| $$

Graph each absolute value equation. $$ y=|2 x+6| $$

Graph each absolute value equation. $$ y=2|x+2|-3 $$

Graph each absolute value equation. $$ y=6-|3 x| $$