L3.1 A2 Explore the Lesson
Completion requirements
Unit 3
Transformations
Read
Part 3.1A corresponds to section 1.1, starting on page 6 of your Pre-Calculus 12 textbook.
You may have heard terms such as transformation, translation, shift, reflection, and stretch before, in various contexts. However, you may not be familiar with the meanings of these terms in a mathematical sense.
When you think of transformation, perhaps you think of the Incredible Hulk who transforms when provoked or Optimus Prime who transforms from a truck.
Mathematically speaking, that is not quite what transformation means.
Transformation in the mathematical sense means to change the graph of a relation so that it is shifted to a new position and/or has been altered in size and/or shape.
For example, consider the parabolic graph of a second degree polynomial function. The bowl-shaped graph can be transformed to sit in a different spot, it can be made wider or more narrow, or it can be flipped. All of these changes of position or shape are called transformations.
When you think of a translation, you may think of words expressed in one language as being changed into another language.
In math, a translation means to shift the graph of a relation to a new position without changing the size or shape of the graph. A slide, or shift, of the graph results in a new position, but the shape is congruent to the original graph.
When you think of transformation, perhaps you think of the Incredible Hulk who transforms when provoked or Optimus Prime who transforms from a truck.
Mathematically speaking, that is not quite what transformation means.
Transformation in the mathematical sense means to change the graph of a relation so that it is shifted to a new position and/or has been altered in size and/or shape.
For example, consider the parabolic graph of a second degree polynomial function. The bowl-shaped graph can be transformed to sit in a different spot, it can be made wider or more narrow, or it can be flipped. All of these changes of position or shape are called transformations.
When you think of a translation, you may think of words expressed in one language as being changed into another language.
In math, a translation means to shift the graph of a relation to a new position without changing the size or shape of the graph. A slide, or shift, of the graph results in a new position, but the shape is congruent to the original graph.