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Question 902540: How can you show vertical reflection, shift left 3, and shift up 6 to these functions: |x| and square root of x.
I have a test tomorrow and I'm still confused on these problems. Please help me, I don't think I'll pass the test tomorrow :(
Answer by nerdybill(7384)   (Show Source):
You can put this solution on YOUR website! How can you show vertical reflection, shift left 3, and shift up 6 to these functions: |x| and square root of x.
"Vertical reflection" is the same as a reflection about the x-axis.
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function: |x|
vertical reflection: -|x|
shift left 3: |x+3|
shift up 6: |x| + 6
put them all together
|x| vertical reflection, shift left 3, and shift up 6 is
-|x+3|+6
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function: sqrt(x)
vertical reflection: -sqrt(x)
shift left 3: sqrt(x+3)
shift up 6: sqrt(x) + 6
put them all together
|x| vertical reflection, shift left 3, and shift up 6 is
-sqrt(x+3)+6
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