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all right so i think the easiest thing to do in doing these problems is to write the parent func to write that function out we know that applying we know that applying the operations outside to the function is different than applying the operations inside the function so we got to look at the transformation and understand should it be an operation please stop is it outside the function or inside the function so the first one im going to do is reflecting the x-axis i find reflecting the x-axis that means i need to multiply by a negative outside the function so im not going to change my function im just going to multiply by a negative on the outside does everybody agree with me thats multiplied by the outside my function has not been changed the next one shifting two units to the left well that means i need to identify transformations two units to the left so therefore i need to thats going to im sorry two units to the left is going to be a horizontal shift which means inside the