### Home > CALC > Chapter 1 > Lesson 1.1.1 > Problem 1-7

TRANSLATING FUNCTIONS Homework Help ✎

Graph the function

. On the same set of axes graph a translation of the function that is shifted one unit to the right and five units down. Write the equation of the translated function. Does the same strategy work for

? Write an equation that will shift one unit to the right and five units down. Compare the graphs of and

and . Describe their similarities and differences. Explain how you know that the graph of

*y*= −9(*x*+ 1) − 6 goes through the point (−1, −6) and has a slope of −9.Sketch the graph of

*y*= 5(*x*− 2) − 1 quickly.

Both graphs are straight lines with the same slope. The second graph has been shifted both horizontally and vertically from

This is a straight line in Point-Slope form. See Math Note for more information.

Refer to the hint in part (d).