Question 1189963
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A note to add to the response from the other tutor....<br>
The order of transformations can be determined by looking at how you would evaluate the function for a given value of x, using PEMDAS order of operations.<br>
(1) P (parentheses): add 6 to x (horizontal shift 6 to the left)
(2) M (multiplication): multiply by 2 (vertical stretch by a factor of 2)
(3) S (subtraction): subtract 7 (vertical shift of -7)<br>
{{{f(x)=(1/2)^x}}} --> {{{f(x)=(1/2)^(x+6)}}} --> {{{f(x)=2((1/2)^(x+6))}}} --> {{{f(x)=2((1/2)^(x+6))-7}}}<br>