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Name ___ Date ___ Class___ LESSON410 4xReview for Mastery Transforming Linear Functions function f(x) x is called the parent function for the family of linear functions. Changing the intercept will
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How to fill out transformations of linear functions
How to fill out transformations of linear functions
01
Identify the original linear function, y = mx + b.
02
Understand the different transformations: shifting vertically (adding or subtracting a constant to the function), stretching or compressing vertically (multiplying the function by a constant), shifting horizontally (changing the value inside the function), and reflecting over the x-axis or y-axis.
03
Apply the desired transformations one at a time by following the specific rules for each type of transformation.
04
Write the transformed function in the form y = a*f(bx + c) + d, where a, b, c, and d are constants that represent the specific transformations made.
Who needs transformations of linear functions?
01
Students studying algebra or pre-calculus who want to understand how different transformations can affect linear functions.
02
Math teachers looking to teach their students about linear function transformations.
03
Individuals working in fields such as engineering or economics where linear functions and transformations are commonly used.
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