SOLUTION: Find the function that is finally graphed after each of the following transformations is applied to the graph of y=√x Reflect about the x-axis, then shift right three units, the

Algebra ->  Linear-equations -> SOLUTION: Find the function that is finally graphed after each of the following transformations is applied to the graph of y=√x Reflect about the x-axis, then shift right three units, the      Log On


   

Question 1139599: Find the function that is finally graphed after each of the following transformations is applied to the graph of y=√x Reflect about the x-axis, then shift right three units, then shift down two units
Found 2 solutions by greenestamps, josmiceli:
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


(1) original: sqrt%28x%29 (red)

graph%28400%2C200%2C-4%2C10%2C-5%2C5%2Csqrt%28x%29%29

(2) reflected over the x-axis: -sqrt%28x%29 (green)

graph%28400%2C200%2C-4%2C10%2C-5%2C5%2Csqrt%28x%29%2C-sqrt%28x%29%29

(3) shifted 3 to the right: -sqrt%28x-3%29 (blue)

graph%28400%2C200%2C-4%2C10%2C-5%2C5%2Csqrt%28x%29%2C-sqrt%28x%29%2C-sqrt%28x-3%29%29

(4) shifted down 2: -sqrt%28x-3%29-2 (purple)

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+y+=+sqrt%28x%29+
-----------------
+graph%28+400%2C+400%2C+-2%2C+10%2C+-2%2C+5%2C+sqrt%28x%29+%29+
Reflect about x-axis
+y+=+-sqrt%28x%29+
------------------
+graph%28+400%2C+400%2C+-2%2C+10%2C+-5%2C+2%2C+-sqrt%28x%29+%29+
Shift right 3 units
+y+=+-sqrt%28+x-3+%29+
---------------------
+graph%28+400%2C+400%2C+-2%2C+10%2C+-5%2C+2%2C+-sqrt%28x-3%29+%29+
Shift down 2 units
+y+=+-sqrt%28+x-3+%29+-+2+ ( final answer )
-------------------------
+graph%28+400%2C+400%2C+-2%2C+10%2C+-5%2C+2%2C+-sqrt%28x-3%29+-+2+%29+