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Your friend hands you a graph of the engine power statistics of a race car. He says, “I know this graph is f(x) = –3(x + 4)6 – 8 but I can’t remember how it is related to the graph of x6.” Explain to your friend how the graph f(x) is a translation of the graph x6.
Start with the (x+4) part. That means the graph is translated 4 places to the left. Then the -8 part means that it start -8 blocks down, when you set x = -4, the y value is -8. The 3 means that it's getting larger faster.
That is to the power of 6 by the way, I meant to put the little carrot in so it's:
f(x) = –3(x + 4)^6 – 8