Transforming Algebraic Functions Shifting Stretching And Reflecting

Transforming Functions | Algebra II | Shifting Functions, Vertically ...

Transforming Functions | Algebra II | Shifting Functions, Vertically ... Now that we know the basics regarding graphing algebraic functions, it's time to learn some tricks that will come in handy as we graph different kinds of fun. To create a vertical stretch, compression, or reflection, the entire function needs to be multiplied by a. these occur when b is replaced by any real number. when |b| is greater than 1, a horizontal compression occurs. a horizontal compression looks similar to a vertical stretch.

Transforming Functions | Algebra II | Shifting Functions, Vertically ...

Transforming Functions | Algebra II | Shifting Functions, Vertically ... This page is a summary of all of the function transformation we have investigated. for more information on each transformation, follow the links within each section below. Transformations can shift, stretch and flip the curve of a function. don’t confuse these with the shape transformations in coordinate geometry at gcse (transformations at gcse). Understanding these translations will allow us to quickly recognize and sketch a new function without having to resort to plotting points. these are the common functions you should know the graphs of at this time:. There are systematic ways to alter functions to construct appropriate models for the problems we are trying to solve. one simple kind of transformation involves shifting the entire graph of a function up, down, right, or left.

Transforming Functions | Algebra II | Shifting Functions, Vertically ...

Transforming Functions | Algebra II | Shifting Functions, Vertically ... Understanding these translations will allow us to quickly recognize and sketch a new function without having to resort to plotting points. these are the common functions you should know the graphs of at this time:. There are systematic ways to alter functions to construct appropriate models for the problems we are trying to solve. one simple kind of transformation involves shifting the entire graph of a function up, down, right, or left. We can stretch or compress it in the y direction by multiplying the whole function by a constant. we can stretch or compress it in the x direction by multiplying x by a constant. note that (unlike for the y direction), bigger values cause more compression. this is also called reflection about the x axis (the axis where y=0). Recall the introduction to graphical transformations of a function we saw in section 1.3. a function may be transformed by a shift up, down, left, or right. a function may also be transformed using a reflection, stretch, or compression. There are three primary types of transformations: reflections, shifts, and stretches. understanding these transformations can simplify the study of functions and their graphs. a reflection occurs when a function is flipped over a specific axis. There are systematic ways to alter functions to construct appropriate models for the problems we are trying to solve. one simple kind of transformation involves shifting the entire graph of a function up, down, right, or left.

Functions - Stretching, Compressing, And Reflecting Functions | Algebra ...

Functions - Stretching, Compressing, And Reflecting Functions | Algebra ... We can stretch or compress it in the y direction by multiplying the whole function by a constant. we can stretch or compress it in the x direction by multiplying x by a constant. note that (unlike for the y direction), bigger values cause more compression. this is also called reflection about the x axis (the axis where y=0). Recall the introduction to graphical transformations of a function we saw in section 1.3. a function may be transformed by a shift up, down, left, or right. a function may also be transformed using a reflection, stretch, or compression. There are three primary types of transformations: reflections, shifts, and stretches. understanding these transformations can simplify the study of functions and their graphs. a reflection occurs when a function is flipped over a specific axis. There are systematic ways to alter functions to construct appropriate models for the problems we are trying to solve. one simple kind of transformation involves shifting the entire graph of a function up, down, right, or left.

Transforming Algebraic Functions: Shifting, Stretching, and Reflecting