Question

Describe the translation in g(x) = x ^ 2 - 8 as it relates to the graph of the parent function The graph of g(x) = x ^ 2 - 8 is the translation of the graph of the parent function ___ units ___

Answer 1

Parent function is f(x) = x^2

We shift the parent function 8 units down to arrive at g(x) = x^2-8

This can be confirmed with a graphing tool like Desmos or GeoGebra.

The -8 at the end basically means "subtract 8 from the y coordinate", which will move each point down 8 units.