Question

Let f(x)=2x^2−8 .

The quadratic function g(x) is f(x) translated 2 units down.
What is the answer.

Answer 1

To translate a function up or down you add a constant to the function...2 units downward means you must subtract 2 from the original equation...

g(x)=f(x)-2

g(x)=2x^2-8-2

g(x)=2x^2-10