Parent LINEAR Function Start at the Origin 1 2 1 2 Symmetry with Respect to the Origin.

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Presentation transcript:

Parent LINEAR Function Start at the Origin Symmetry with Respect to the Origin

Parent QUADRATIC Function Start at the Origin Symmetry with Respect to the y-axis

Parent CUBIC Function Start at the Origin Symmetry with Respect to the Origin

Parent SQUARE ROOT Function Start at the Origin NO Symmetry

Parent ABSOLUTE VALUE Function Start at the Origin Symmetry with Respect to the y-axis

Parent RECIPROCAL Function Start at the Origin ½ Symmetry with Respect to the ORIGIN ½ 2

Represent The BASIC Function Represents a Transformation of the BASIC Function

d Translates the x-axis up or down

d > 0 d < 0

c Translates the y-axis left or right

2 Units The direction of the translation depends on when c Translates the y-axis left or right

2 Units The direction of the translation depends on when c Translates the y-axis left or right

2 Units

a Is the DILATION FACTOR

Determines the number of spaces you need to go up or down to get back on the graph

Transformation Worksheet

`

Translate the x-axis up or down Translate the y-axis left or right Graph Using The Properties of the Basic Function & Applying The DILATION FACTOR

d

Translated Origin

a

Symmetry with respect to the Translated y-axis

d

Translated Origin

a

Up 1 x 3

Up 4 x 3 Off The Graph

Symmetry with respect to the Translated y-axis

d

Translated Origin

Down 1 x 2

Down 4 x 2

Symmetry with respect to the Translated y-axis