Hi, I have a quick question about graph transformations.

  • #1
2
0
Member has been warned not to remove the template.
One of my homework questions said "Explain how to obtain f(x)=-(3+x)^2+1 from the graph of y=x^2."



I know somehow you need to move the graph right 3, reflect about the x-axis, and move up one, but I don't know how to factor and manipulate the equation to show this.
 
Last edited by a moderator:

Answers and Replies

  • #2
12,517
6,306
Define an x' and a y' so that your equation looks like the y=x^2 format.
 
  • #3
Ray Vickson
Science Advisor
Homework Helper
Dearly Missed
10,706
1,728
One of my homework questions said "Explain how to obtain f(x)=-(3+x)^2+1 from the graph of y=x^2."



I know somehow you need to move the graph right 3, reflect about the x-axis, and move up one, but I don't know how to factor and manipulate the equation to show this.
Your description is perfectly OK as is. However, be careful about moving the graph---right or left?
 

Related Threads on Hi, I have a quick question about graph transformations.

  • Last Post
Replies
2
Views
4K
Replies
1
Views
455
  • Last Post
Replies
5
Views
1K
Replies
15
Views
8K
  • Last Post
Replies
10
Views
787
  • Last Post
Replies
2
Views
4K
  • Last Post
Replies
10
Views
7K
Replies
13
Views
1K
  • Last Post
Replies
2
Views
3K
  • Last Post
Replies
1
Views
3K
Top