SOLUTION: How can you translate the graph of y=|x| to obtain the graph of y=|x-4|+2? a.)4 units left and 2 units up b.)4 units left and 2 units down c.)4 units right and 2 units up d.)4

Algebra ->  Matrices-and-determiminant -> SOLUTION: How can you translate the graph of y=|x| to obtain the graph of y=|x-4|+2? a.)4 units left and 2 units up b.)4 units left and 2 units down c.)4 units right and 2 units up d.)4      Log On


   

Question 586997: How can you translate the graph of y=|x| to obtain the graph of y=|x-4|+2?
a.)4 units left and 2 units up
b.)4 units left and 2 units down
c.)4 units right and 2 units up
d.)4 units right and 2 units down
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I notice 2 things:
(1) y can never be negative
(2) the smallest value of y is
when +x+=+4+, +y+=+2+
------------------------
+y+=+abs%28x%29+ has a minimum at +x+=+0+,+y+=+0+
The translation is
(c) 4 units right and 2 units up
Here's the plot of +abs%28+x+-+4+%29+%2B+2+:
+graph%28+400%2C+400%2C+-2%2C+10%2C+-2%2C+10%2C+abs%28+x+-+4+%29+%2B+2+%29+