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Write the function whose graph is the graph of y=x^2 but shifted to the right 9 units.

User Tirthankar Kundu
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1 Answer

19 votes
19 votes

Given


y=x^2

To shift an equation 9 units to the right, you have to subtract 9 from the x-term of the equation.

To make the transformation easier, you can write the equation using function notation:


f(x)=x^2

Subtract 9 to the x-term of the function:


\begin{gathered} f(x-9)=(x-9)^2 \\ g(x)=(x-9)^2 \end{gathered}

Once you have performed the transformation, you can write the result as an equation:


y=(x-9)^2

User Alghimo
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