math question, fuctions shifting (quadratic and cubic)

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1

<p>If i had an equation say...f(x)=x^2+4x
and wanted to graph f(x-2), then the graph would be the exact same shape but shift to the right right? </p>

<p>Does this rule apply with cubic functions also?
If...f(x)=x^3+4x+3
and wanted to graph f(x+2), then the graph would shift to the left? correct?</p>

<p>If i am right...can someone explain why</p>

2

<p>Yes.</p>

<p>[Function</a> Transformations / Translations: Basic Rules](<a href=“http://www.purplemath.com/modules/fcntrans.htm]Function”>Function transformation/translation/trans-- what? | Purplemath)</p>

<p>Purplemath has a wonderful section on transforming functions.</p>