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

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Answer 1 · 2017-06-01T08:07:44

See 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:

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

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

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

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

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+1f(x)=2x^2-8x+1?