Answer:
[tex]g(x)=2x^2-10[/tex]
Step-by-step explanation:
The function f(x) is given by
[tex]f (x) = 2x^2 - 8[/tex]
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
[tex]g(x)=f(x)-2[/tex]
[tex]g(x)=2x^2-8-2[/tex]
[tex]g(x)=2x^2-10[/tex]
