# Graph Transformations Order of Operations

I'm a little confused regarding order of operations for shifted graph functions.

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 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 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 at 6:30