Hi, I have a quick question about graph transformations.

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One of my homework questions said "Explain how to obtain f(x)=-(3+x)^2+1 from the graph of y=x^2."



I know somehow you need to move the graph right 3, reflect about the x-axis, and move up one, but I don't know how to factor and manipulate the equation to show this.
 
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  • #3
Ray Vickson
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One of my homework questions said "Explain how to obtain f(x)=-(3+x)^2+1 from the graph of y=x^2."



I know somehow you need to move the graph right 3, reflect about the x-axis, and move up one, but I don't know how to factor and manipulate the equation to show this.

Your description is perfectly OK as is. However, be careful about moving the graph---right or left?
 

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