SOLUTION: 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 stret

Algebra ->  Rational-functions -> SOLUTION: 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 stret      Log On


   

Question 1122996: 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 by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Doing transforms one at a time:
Original equation: +y+=+abs%28x%29+
+graph+%28+400%2C400%2C+-10%2C+10%2C+-10%2C+10%2C+abs%28x%29+%29+
Shifted left +9+ units: +y+=+abs%28+x+%2B+9+%29+
+graph%28+400%2C400%2C+-20%2C+1%2C+-10%2C+10%2C+abs%28+x+%2B+9+%29+%29+
Vertical stretch by factor of 7: +y+=+7%2Aabs%28+x+%2B+9+%29+
+graph%28+400%2C400%2C+-20%2C1%2C-10%2C10%2C+7%2Aabs%28+x+%2B+9+%29+%29+
Shifted down 6 units: +y+=+7%2Aabs%28+x+%2B+9+%29+-+6+
+graph%28+400%2C400%2C+-20%2C1%2C-10%2C6%2C+7%2Aabs%28+x+%2B+9+%29+-+6+%29+