College Algebra, Chapter 3, 3.5, Section 3.5, Problem 4

Match the graph with the function

a.) $y = |x + 1|$

b.) $y = |x - 1|$

c.) $y = |x| - 1$

d.) $y = - |x|$

I.







II.







III.







IV.








a.) $y = |x + 1|$

The graph of $y = |x|$ is shifted 1 unit to the left. The equation matches graph II.

b.) $y = |x - 1|$

The graph of $y = |x|$ is shifted 1 unit to the right. The equation matches graph IV.

c.) $y = |x| - 1$

The graph of $y = |x|$ is shifted 1 unit downward. The equation matches graph I.

d.) $y = - |x|$

The graph of $y = |x|$ is reflected about $x$-axis. The equation matches graph III.