write an equation that translates 6 units up for the following transformation to y=x^{2}

1 answer

To translate the graph of the function \( y = x^2 \) upwards by 6 units, you simply add 6 to the entire function.

The equation that represents this transformation is:

\[ y = x^2 + 6 \]

This new equation shifts the entire parabola up by 6 units.