Question

PLEASE HELP
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.

Answer 1

@zepdrix @Zarkon @myininaya @e.mccormick @thomaster @robtobey @jigglypuff314

Answer 2

y = a(x-h)^3 + k
were h is how much it was moved left to right
k is how much up or down
and a is how much stretched/squashed

Answer 3

I don't understand how that relates to the question...@jigglypuff314

Answer 4

@jigglypuff314

Answer 5

the original parent graph is y = x^3 = 1(x-0)^3+0
as in it was not moved or stretched in comparison to -2(x-4)^3-3

Answer 6

I'm sorry..I don't understand.

Answer 7

if y = x^3 is the original graph, then -2(x-4)^3-3 is just that x^3 has been
flipped upside down (because of the negative in front)
the 2 means it was stretched by a factor of 2
the 4 means that it was shifted 4 to the right
the -3 means that it was shifted 3 down

Answer 8

So how could I answer the question in complete sentences?

Answer 9

well... I'm not good with grammer and complete sentence stuff. so I don't think I can help you with that, sorry :/
I gave all the information you would need to answer the question
and another way to explain it is by graphing both graphs and comparing that way