SOLUTION: What is the transformation that occurs to the equation y=2^x if it changes to y=2^(x+8)+4 Show all steps, please!!

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Question 1063537: What is the transformation that occurs to the equation y=2^x if it changes to y=2^(x+8)+4
Show all steps, please!!
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!


We build up from y=2%5Ex to y=2%5E%28x%2B8%29 to y=2%5E%28x%2B8%29%2B4  

y=2%5Ex has this red graph

graph%28400%2C400%2C-15%2C5%2C-5%2C15%2C2%5Ex%29

When we replace x by (x+8) we shift the graph 8 places LEFT.

y=2%5E%28x%2B8%29 has this green graph

graph%28400%2C400%2C-15%2C5%2C-5%2C15%2C2%5Ex%2C2%5E%28x%2B8%29%29

When we add +4 to the right, we shift the graph 4 places UP.

y=2%5E%28x%2B8%29%2B4 has this blue graph

graph%28400%2C400%2C-15%2C5%2C-5%2C15%2C2%5Ex%2C2%5E%28x%2B8%29%2C4%2B2%5E%28x%2B8%29%29

Edwin