Algebra 2 - Transformation of Functions

Algebra 2 - Transformation of Functions

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Domain of a Function

Front

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Cards (14)

Section 1

(14 cards)

Domain of a Function

Front

The set of all possible input values for the function

Back

Vertical Stretch

Front

y coordinate changes; y coordinate is multiplied by a factor which is greater than 1 (a>1); points pulled away from the x axis (grows longer)

Back

Horizontal Stretch

Front

Stretching a parabola away from the y-axis; If the original (parent) function is y = f (x), the horizontal stretching of the function is the function f (bx); if 0 < b < 1 (a fraction), the graph is stretched horizontally by a factor of b units. |b| < 1 causes stretching

Back

Parent Function

Front

The simplest function in a family; all functions in the family are transformations of it.

Back

Horizontal compression

Front

A horizontal compression is the squeezing of the graph towards the y-axis. b => horizontal stretch/compression. If the original (parent) function is y = f (x), the horizontal compressing of the function is f(bx) where b > 1 causes compression.

Back

Parameter Changes

Front

A numerical measure that describes changes of a characteristic of a function and the changes in the resulting graph then compared to the parent function.

Back

Range of a Function

Front

The set of all possible output values of a function

Back

Vertical Compression

Front

y coordinate changes; y coordinate is multiplied by a factor which is greater than 0 but less than 1 (0<a<1); points pushed toward x axis (shorter/flatter)

Back

Vertical Shift

Front

moves the graph up or down, f(x)+d

Back

Rigid Transformations

Front

Transformations that do not change the size or shape of a figure.

Back

Transformations

Front

General term for ways to manipulate the shape or position of a graph. Types of transformation include translation (shifts), reflection, and dilation (compression and stretch). Specific parameter changes on parent functions cause certain types of transformations on the graph of the function.

Back

Set Notation

Front

A notation for a set that uses a rule to describe the properties of the elements of the set. {x|a<x<b}

Back

Horizontal Shift

Front

a move to the left or right of a graph; ƒ(x) → ƒ(x - c), c > 0 moves to the right and c < 0 moves to the left

Back

Interval Notation

Front

a way of writing the set of all real numbers between two endpoints. the symbols [and] are used to include an endpoint in an interval, and the symbols (and) are used to exclude endpoint from an interval

Back