Algebra 2 Translations Flashcards

Questions and Answers

What is a vertical stretch?

Outside parenthesis F(x)-->A times F(x) (correct)

A horizontal shift

A reflection over the y-axis

Inside parenthesis F(x)-->f(1/b x)

What does the vertical compression do to the function F(x)?

F(x)-->A times F(x)

Which transformation is represented by F(x)-->f(1/b x)?

Vertical Stretch

Reflection over the x-axis

Horizontal Stretch (correct)

Vertical Shift

What type of transformation is indicated by F(x)-->-F(x)?

Reflection over the x-axis Signup and view all the answers

What does a horizontal shift do in terms of function transformation?

F(x)-->f(x-h) Signup and view all the answers

What is the representation of a vertical shift in a transformation function?

F(x)-->f(x)+k Signup and view all the answers

Study Notes

Vertical Transformations

Vertical stretch occurs outside the parenthesis, represented as F(x) = A * F(x).
Example: A vertical stretch of 2 for the function translates to 2(x) or 2(x + 4).
Vertical compression also occurs outside the parenthesis, represented similarly as F(x) = A * F(x).
Example: A vertical compression by 1/2 results in 1/2(x) or 1/2(x + 4).

Horizontal Transformations

Horizontal stretch is defined inside the parenthesis, taking the form F(x) = f(1/b * x) and affects the input.
Example: A horizontal stretch of 1/2 is reflected in the function as (1/2)x or (1/1/2 * x + 4) when expanded.
Horizontal compression also occurs inside the parenthesis, affecting the function input.
Example: A horizontal compression by 2 results in (2x) or (2x + 4).

Reflections

Reflection over the y-axis is represented by F(x) = f(-x), flipping the graph horizontally.
Reflection over the x-axis is represented by F(x) = -F(x), flipping the graph vertically.

Shifts

Horizontal shift is defined by F(x) = f(x - h), moving the graph left or right based on the value of h.
Vertical shift is represented as F(x) = f(x) + k, moving the graph up or down depending on the value of k.

Description

Master the concepts of vertical and horizontal transformations in Algebra 2 with these flashcards. Each card provides definitions and examples to clarify stretches and compressions. Perfect for quick reviews or deeper study.