A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
How would you transform the graph of y= f (x ) to obtain the graph of y= 3f (x 2) +5 ? If (7, 3) is a point on the graph of y= f (x ) , what would be the corresponding point on the graph of y=3f (x 2)+ 5 ?
anonymous
 4 years ago
How would you transform the graph of y= f (x ) to obtain the graph of y= 3f (x 2) +5 ? If (7, 3) is a point on the graph of y= f (x ) , what would be the corresponding point on the graph of y=3f (x 2)+ 5 ?

This Question is Closed

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0There are three aspects to the transformation. Think first about that "3" in front of the f(x2)... and just think for a minute as if was just 3f(x). So if that was the only transformation, it would take the original function f(x), and it would make it 3 times larger for every x input, but it would also flip it... so any negative values in f(x) would become positive (and 3 times larger) in 3f(x).

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Next, think about what the (x2) does as the function input in comparison to the original function, f(x). f(x) gives some value for any input x. f(x2) will take values for x that are 2 larger and then return the same f. In other words, say f(x) = 10 when x=0... f(0) = 10 Then in the transformed function f(x2), it will also be equal 10, but it will shift over to be equal 10 when x = 2. So f(x2) is a transformation that shifts the function right by 2 units compared with f(x)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0So, with those two parts of the transformation, you can say that 3f(x2) transforms f(x) by making it 3 times larger, flipping it across the xaxis, and shifting it all right by 2 units. The last transformation adds 5 to everything else. Can you see what shift will occur as a result?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0to be honest i didn't get it.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.01)shift the function to the right by 2 points, 2) flip the graph down, around x axis. 3) Re calibrate y axis in such a way that 3 units in the previous graph is 1 unit in the present graph 4) Shift the resulting graph up by 5 points

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0dw:1351534597224:dw
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.