Question

Your friend hands you a graph of the performance statistics of the newest car to roll off the assembly line. He says, “I know this graph is f(x) = –4(x – 5)3 + 7 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

someone help me?

Answer 2

what do you mean by the 1st sentence? qhere did you get x^4?

Answer 3

Sorry wrong equation

Answer 4

im confused now...

Answer 5

Sorry i was trying to post in a different one

Answer 6

I will attempt to help you though

Answer 7

Hang on and let me work this out

Answer 8

ok

Answer 9

y=(x)^3 Let's try to turn this into the performance function. Putting a negative in front flips it over the x-axis. y=−(x)^3 To make shifts to the right or up we subtract that value from the corresponding variable. So we want to shift this function to the right 5 units, so we'll subtract 5 from x. y=−(x−5)^3 We also want to shift this function up by 7, so we'll subtract 7 from y. y−7=−(x−5)^3 Then add 7 to each side, y=−(x−5)^3+7 Then we'll squeeze the function (make it grow four times faster) by multiplying it by 4. y=−4(x−5)^3+7

Answer 10

oooooh i get it!! thank you so much!

Answer 11

No problem

Answer 12

can you help me with another question?

Answer 13

Sure what is it?

Answer 14

In your lab, a substance's temperature has been observed to follow the function T(x) = (x - 4)3 + 6. The turning point of the graph is where the substance changes from a liquid to a gas. Explain to your fellow scientists how to find the turning point of this function, using complete sentences.

Answer 15

I am actually having some trouble doing this one

Answer 16

Sorry

Answer 17

Any others?

Answer 18

its ok, thaks for trying though

Answer 19

yup no problem

Answer 20

Do you have any more questions?

Answer 21

no, thanks

Answer 22

Ok are you good with graphs?