Question

How do you write on equation for a function, g(x), that has been translated 3 units to the right of `f(x)=2x^2-8x+1`?

Answer 1

See explanation.

Explanation:

If you transfer a graph of `f(x)` by moving it 3 units to the right, you get the graph of `g(x)=f(x-3)`. Here you get:

`g(x)=f(x-3)=2(x-3)^2-8(x-3)+1`

`g(x)=2*(x^2-6x+9)-8x+24+1`

`g(x)=2x^2-12x+18-8x+25`

`g(x)=2x^2-20x+43`