Question

Your friend hands you a graph of the performance statistics of the latest powerboat to be produced. He says, “I know this graph is f(x) = –2(x – 4)3 – 3 but I can’t remember how it is related to the graph of x3.” Explain to your friend how the graph f(x) is a translation of the graph x3. @ganeshie8

Answer 1

f(x) --> f(x-h)

moves the graph of f(x) to right by "h" units

Answer 2

its like delaying the graph by kicking it into the future by "h" units

Answer 3

I like to think that if you are looking at the point f(3) and really want to look at it while standing at x=8 or whatever, then you need to have f(8-5) since this is f(3). Since we plugged in 8, then our function's gotta be f(x-5).