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.

Answer 1

Well you just need to condense the function a little by distributing the 3
You would get f(x) = -2(3x - 12) - 3
Now the -2 would be a change in slope,
the -12 would be a shift left or right
and the -3 would be a shift up or down

Answer 2

It would be, but you need to know what the slope does, and which way the graph moves.

Answer 3

would the graph move down

Answer 4

From the -3 the graph would move down.

Answer 5

then what would he slope do

Answer 6

@Arfney

Answer 7

The slope would be multiplied by -2

Answer 8

thank you

Answer 9

Your welcome.

Answer 10

do you have time for one more

Answer 11

Sure.

Answer 12

You are having a meeting with the CEO of a technology company. You have interpreted the number of laptops produced versus profit as the function P(x) = x4 -3x3 -8x2 + 12x + 16. Describe to the CEO what the graph looks like. Use complete sentences, and focus on the end behaviors of the graph and where the company will break even (where P(x) = 0). i really dont understand this one.

Answer 13

\[P(x) = x ^{4}-3x ^{3}-8x ^{2}+12x+16\]

Answer 14

thats the equation

Answer 15

Is the equation, so for starters what do you tihnk the ends of the graph will look like?