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).