Question

A graph G is obtained from a graph of y by the following sequence of transformations. Write an equation whose graph is G.
y=|x|: a shift left 9 ​units, then a vertical stretch by a factor of 7​, and finally a shift down 6 units

Thank you so much!!!

Answer 1

y=|x|
a shift left 9 ​units ---> y = |x+9|
then a vertical stretch by a factor of 7​ ----> y = 7|x+9|
and finally a shift down 6 units -----> y= 7|x+9| + 6

check:
http://www.wolframalpha.com/input/?i=plot+y+%3D+%7Cx%7C+,+y+%3D+%7Cx%2B9%7C,+y+%3D+7%7Cx%2B9%7C,y%3D+7%7Cx%2B9%7C+%2B+6

Answer 2

Thank you!