write an equation that translates 2 units right for the following transformation to y=x^{2}

Answer 1

To translate the graph of the function \( y = x^2 \) 2 units to the right, you can modify the equation by replacing \( x \) with \( x - 2 \).

The transformed equation will be:

\[ y = (x - 2)^2 \]

This modification shifts the graph of the parabola to the right by 2 units.