Reflections and Transformations

In summary, there are four types of transformations: translation, rotation, reflection, and dilation. A reflection is when a figure is flipped over a line of reflection, while a translation is when a figure is moved to a different location without changing its shape or size. To perform a rotation, you need to determine the center of rotation and the degree of rotation. A figure can also have multiple lines of symmetry depending on its shape.
  • #1
Loppyfoot
194
0

Homework Statement


f(x) = 5 - g(x)
Do you reflect first, then translate, or translate then reflect?


Homework Equations





The Attempt at a Solution


So the graph would be translated up 5 units and reflected over the x-axis. Do you translate it up 5 units, then reflect? or vice versa?
 
Physics news on Phys.org
  • #2
Reflect across the x-axis first, then translate up 5 units.
 

1. What are the types of transformations?

There are four types of transformations: translation, rotation, reflection, and dilation.

2. How do you describe a reflection?

A reflection is when a figure is flipped over a line of reflection, also known as a mirror line. The points on the original figure and the reflected figure are equidistant from the line of reflection.

3. What is the difference between a translation and a reflection?

A translation is when a figure is moved to a different location without changing its shape or size. A reflection, on the other hand, involves flipping a figure over a line of reflection.

4. How do you perform a rotation?

To perform a rotation, you need to determine the center of rotation and the degree of rotation. Then, each point of the figure is rotated around the center by the specified degree.

5. Can a figure have more than one line of symmetry?

Yes, a figure can have multiple lines of symmetry depending on its shape. For example, a square has four lines of symmetry while a rectangle has two lines of symmetry.

Similar threads

  • Calculus and Beyond Homework Help
Replies
4
Views
969
  • Calculus and Beyond Homework Help
Replies
7
Views
3K
  • Calculus and Beyond Homework Help
Replies
11
Views
2K
  • Calculus and Beyond Homework Help
Replies
1
Views
1K
  • General Math
Replies
2
Views
2K
  • Precalculus Mathematics Homework Help
Replies
4
Views
971
  • Calculus and Beyond Homework Help
Replies
3
Views
2K
  • Calculus and Beyond Homework Help
Replies
1
Views
841
  • Electrical Engineering
Replies
4
Views
317
  • Calculus and Beyond Homework Help
Replies
2
Views
932
Back
Top