What are the transformations Algebra 2?

What are the transformations Algebra 2?

A transformation takes a basic function and changes it slightly with predetermined methods. This change will cause the graph of the function to move, shift, or stretch, depending on the type of transformation. The four main types of transformations are translations, reflections, rotations, and scaling.

How do you find a step function?

A function f: R → R is called a step or greatest integer function if y = f(x) = [x] for x ∈ R.

What does a step function equation look like?

Mathematically speaking, a step function is a function whose graph looks like a series of steps because it consists of a series of horizontal line segments with jumps in-between. For this reason, it is also sometimes called a staircase function.

What order do you do transformations in?

Apply the transformations in this order:

  1. Start with parentheses (look for possible horizontal shift) (This could be a vertical shift if the power of x is not 1.)
  2. Deal with multiplication (stretch or compression)
  3. Deal with negation (reflection)
  4. Deal with addition/subtraction (vertical shift)

How to transform a function into a function?

Function Transformations. Let us start with a function, in this case it is f(x) = x 2, but it could be anything: f(x) = x 2. Here are some simple things we can do to move or scale it on the graph: g(x) = x 2 + C. Note: to move the line down, we use a negative value for C. C > 0 moves it up.

Which is an example of a transformation in Algebra?

Example 4 Using transformation sketch the graph of each of the following. Based on the placement of the minus sign ( i.e. it’s outside the square and NOT inside the square, or ( − x) 2 ( − x) 2 ) it looks like we will be reflecting x 2 x 2 about the x x -axis. So, again, the means that all we do is change the sign on all the y y coordinates.

How to graph a function involving more than one transformation?

Use the following order to graph a function involving more than one transformation: 1. Horizontal Translation 2. Stretching or shrinking 3. Reflecting 4. Vertical Translation

Which is a step function in a differential equation?

Before proceeding into solving differential equations we should take a look at one more function. Without Laplace transforms it would be much more difficult to solve differential equations that involve this function in g(t) . Here is a graph of the Heaviside function. Heaviside functions are often called step functions.