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Algebra 2 Functions & Transformations

Algebra 2 Functions & Transformations

memorize.aimemorize.ai (lvl 286)
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29 cards
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Section 1

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Constant function

Front

1 / 29

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Last updated

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Date created

Mar 1, 2020

Cards (29)

Section 1

(29 cards)

Constant function

Front

Back

f(x)=x^2

Front

Quadratic function equation

Back

x>=0

Front

Square root function domain

Back

all real numbers

Front

Linear, cubic function range

Back

f(x)=IxI

Front

Absolute value equation

Back

Compression

Front

When the graph gets smaller than the parent function

Back

Quadratic function

Front

Back

Cubic function

Front

Back

y=number

Front

Constant function range

Back

Rules for translating functions

Front

1. f(x)+k: go up (positive up) 2. f(x)-k: go down (negative down) 3. f(x+k): left (positive left) 4. f(x-k): right (negative right)

Back

Linear function

Front

Back

Parent function

Front

Simplest function with the defining characteristic of the family

Back

f(x)=square root of x

Front

Square root equation

Back

f(x)=x

Front

Linear function equation

Back

Rules for vertically stretching/ compressing functions

Front

1. f(x)=af(x) a>1: skinnier "stretch" 2. f(x)=af(x) 0<a<1: fatter "compression"

Back

Reflection

Front

Flips across the x or y axis; mirror image

Back

Rules for horizontally stretching/compressing functions

Front

1.f(ax) a>1: shrink graph horizontally by a factor of a 2.f(ax) 0<a<1: stretch graph horizontally by a factor of a

Back

Square root function

Front

Back

Transformations

Front

Functions in the same family are ________ of their parent function

Back

Stretch

Front

When the graph gets larger than the parent function

Back

y>=0

Front

Quadratic, square root, and absolute value function range

Back

Absolute value function

Front

Back

Transformation

Front

Translation, reflection, and/or stretch/compression

Back

f(x)=x^3

Front

Cubic function equation

Back

Translation

Front

Moves up, down, left, or right

Back

f(x)= number

Front

Constant function equation

Back

Vertical & horizontal

Front

There are two types of stretches/compressions: _____ & ______

Back

all real numbers

Front

Constant, linear, cubic, absolute value, and quadratic function domain

Back

Rules for reflecting functions

Front

1. y=-f(x): flips over x axis 2. y=f(-x): flips over y axis

Back