QUIZ Wednesday June 10 th (6 questions) Section 1.6 (from ppt) Naming parent functions and writing the domain and range. (3 questions) Graphing functions,

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Presentation transcript:

QUIZ Wednesday June 10 th (6 questions) Section 1.6 (from ppt) Naming parent functions and writing the domain and range. (3 questions) Graphing functions, identifying the type (based on parent function) and writing the domain and range. (3 questions)

My quiz average 86, Median 93, Mode 100 Joselson Ooky combined mean median mode Competition

1.7 Transformations Parent Function – simplest form of a type (or family) of graphs Using a parent function you can transform the graph to create other graphs of the same family.

Parent Functions

Order of Operations

Translation

Translation

Practice 1.Graph 2.Graph 3. Graph y = |x+2| + 2

y = |x+2| + 2

Reflection When the parent function is multiplied by -1 the result, -f(x) is a reflection across the x axis The figures flips over the line of reflection

A graph can be reflected across any line including the x-axis, y-axis, origin, y=x, etc.

Practice 1.Graph y= -|x-1|-2

Dilation A dilation shrinks or enlarges a graph proportionally. When a function is multiplied by a nonzero number the slope changes which stretches or compresses the graph. Coefficients over 1 cause the graph to be stretched vertically. Coefficients between 0 and 1 cause the graph to be compressed vertically.

y=3|x| y= ½ |x| y=|x|

Horizontal dilation When the variable is multiplied by a nonzero coefficient, the graph is stretched or compressed horizontally.

y=x y=½x

Summary of Transformations

Parent Function/Transformation Worksheet

Homework page 72 # 1-4(all), 5-19(odd)