Question

Let f (x) = 2x² - 8.

The quadratic functiong (x) is ƒ (x) translated 2 units down.
What is the equation for g (x) in simplest from?
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g(x) =

Answer 1

`g(x)=2x^2-10`

Explanation:

The function f(x) is given by

`f (x) = 2x^2 - 8`

The quadratic function g(x) is obtained by translating f(x) 2 units down.

We use the below rule to find the equation for g (x)

Rule:- If a function f(x) is translated 'c' units down then the equation of the translated function be f(x)-c

Here, f(x) is translated 2 units down to obtain g(x).

Hence, we have

`g(x)=f(x)-2`

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

`g(x)=2x^2-10`