Horizontal Stretches and Shrinks: f(ax)
For a function , the transformation where and creates a horizontal stretch or shrink by a factor of . Key formulas include expressions such as f(x). This concept is part of Big Ideas Math, Algebra 2 for Grade 8 students, covered in Chapter 1: Linear Functions.
Key Concepts
For a function $f(x)$, the transformation $y = f(ax)$ where $a 0$ and $a \neq 1$ creates a horizontal stretch or shrink by a factor of $\frac{1}{a}$.
$$y = f(ax) \text{ where } a 0, a \neq 1$$.
Common Questions
What is Horizontal Stretches and Shrinks: f(ax) in Algebra 2?
For a function , the transformation where and creates a horizontal stretch or shrink by a factor of .
How do you apply Horizontal Stretches and Shrinks: f(ax)?
When : horizontal shrink by factor When : horizontal stretch by factor
Why is Horizontal Stretches and Shrinks: f(ax) an important concept in Grade 8 math?
Horizontal Stretches and Shrinks: f(ax) builds foundational skills in Algebra 2. Mastering this concept prepares students for more complex equations and higher-level mathematics within Chapter 1: Linear Functions.
What grade level is Horizontal Stretches and Shrinks: f(ax) taught at?
Horizontal Stretches and Shrinks: f(ax) is taught at the Grade 8 level in California using Big Ideas Math, Algebra 2. It is part of the Chapter 1: Linear Functions unit.
Where is Horizontal Stretches and Shrinks: f(ax) covered in the textbook?
Horizontal Stretches and Shrinks: f(ax) appears in Big Ideas Math, Algebra 2, Chapter 1: Linear Functions. This is a Grade 8 course following California math standards.