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I'm a little confused regarding order of operations for shifted graph functions. enter image description here

For part b, which one is correct, and why? Shifting two to the left, and flipped over the x-axis, or flipped over the x-axis, and then shifted by two to the left. I am getting different results for each one. Is there a set order of operations for this scenarios?

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I don't see any difference between shift left $2$ then flip over $x$, and flip over $x$ then shift left $2$. –  Gerry Myerson Jan 27 '13 at 4:17
Wouldn't the first one be the same as the original, and the second one would be shifted 4 to the left of the original? –  Shankar Kumar Jan 27 '13 at 5:17
Take a point $(a,b)$. Shift left two to $(a-2,b)$, flip over $x$ to $(a-2,-b)$. Or, flip over $x$ to $(a,-b)$, and shift left two to $(a-2,-b)$. Same result, right? –  Gerry Myerson Jan 27 '13 at 6:30

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