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Alex Wally · Answer 1 · 2023-08-14T17:40:33+0000

The parent function is 2^x.

Simplify the transfered function to obtain it as parent function.

$\begin{gathered} 2^(x-2)-6=2^x\cdot2^(-2)-6 \\ =(2^x)/(4)-6 \end{gathered}$

On comparison transfered function with parent function, it can be observed that for same value of x, the value of y from transfered first decreases by the factor of 4 and 6 is subtracted from the resultant value.

After ploting the graph same thing can be observed at particular value x. The value of y coordinate in transfered function is one fourth of y from parent function with 6 unit shifted downward.

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