SOLUTION: The graph of y=2^(x-6)-8 is identical to the graph of the basic function f(x)= ________ except it is translated _______ units ________ and _______ units ________. Use translations

Algebra ->  Graphs -> SOLUTION: The graph of y=2^(x-6)-8 is identical to the graph of the basic function f(x)= ________ except it is translated _______ units ________ and _______ units ________. Use translations       Log On


   

Question 1005696: The graph of y=2^(x-6)-8 is identical to the graph of the basic function f(x)= ________ except it is translated _______ units ________ and _______ units ________. Use translations to graph the function. Show work.
Please help fill in the blanks and graph.
Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Moved rightward 6 units and downward 8 units.
f%28x%29=2%5Ex

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

The graph of y=2%5E%28x-6%29-8 is translated.
When you move a graph horizontally or vertically, this is called a translation. In other words, every point on the parent graph is translated left, right, up, or down.
So, the graph of y=2%5E%28x-6%29-8 is identical to the graph of the basic function f%28x%29=+2%5Ex except it is translated 6 units to the right and 8 units down.

+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+2%5Ex%2C+2%5E%28x-6%29-8%29+