SOLUTION: Let f(x)=x-5 , the function obtained by reflect the graph of f(x) about y=x and then shift left 3 units is ??

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Let f(x)=x-5 , the function obtained by reflect the graph of f(x) about y=x and then shift left 3 units is ??       Log On


   

Question 1128159: Let f(x)=x-5 , the function obtained by reflect the graph of f(x) about y=x and then shift left 3 units is ??


Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+f%28x%29+=+x+-+5+
----------------------------
Reflect about +y+=+x+
+x+=+f%28x%29+-+5+
+f%28x%29+=+x+%2B+5+
------------------------
Shift 3 units left
+f%28x%29+=+x+%2B+5+%2B+3+
+f%28x%29+=+x+%2B+8+
------------------------
Here's the 3 plots:
+graph%28+400%2C+400%2C+-10%2C+10%2C+-10%2C+10%2C+x+-+5%2C+x+%2B+5%2C+x+%2B+8+%29+