Question

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

Answer 1

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:

$y=(x-9)^2$