Reflections and Dilations of Absolute Value Functions

The graph opens up if a 0 the graph opens down if a 0 the graph is compressed if 0 a 1 y x y - x y The graph is stretched if a 1 y x 1 2 x y 3x EXAMPLES EXAMPLE 2. 10th - 11th grade.

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Stretches more narrow shifts up 4 units.

. Ii The graph y fx is the reflection of the graph of f about the y-axis. Dilations make the graph wider or thinner. Reflections and Dilations of Absolute Value Functions.

38 Absolute Value Functions 3 November 01 2017. Some functions include an absolute value expression. The red curve in the image above is a transformation of the green one.

38 Absolute Value Functions. Lal 1 v climbs quickly stretches 0. 2 on a question lessonReflections and Dilations of Absolute Value Functions What type of change does the constant have on the absolute value symbol if its in front of it.

A dilation is a stretching or. Reflection over x. Using Multiple Strategies to Solve Equations.

Up to 24 cash back An absolute value function is written as fx ax-hk where a h and kare constants and fx 0 for all values of x. Which function is represented by the graph. I can identify and graph translations reflections and dilations of absolute value functions 11117.

It has been dilated or stretched horizontally by a factor of 3. Transformations of absolute value functions. Learn all about absolute value functions and how to graph them in this free algebra lesson.

38 Absolute Value Functions 2 November 01 2017. K moves the graph up or down. 38 Absolute Value Functions 4 November 01 2017.

A 0 reflects across the x-axis. Up to 24 cash back REFLECTIONS DILATIONS A reflection flips a graph across a line A dilation makes the graph narrower or wider than the parent function. H moves the graph right or left.

Graph y 05 x. Some useful reflections of y fx are i The graph y fx is the reflection of the graph of f about the x-axis. Quiz 34 to 37.

Which describes how the parent function. Reflections and Dilations of Absolute Value Functions. Translations reflections and dilations Lessons.

F x 29x. Square Root Functions and Reflections. Gx a lx-hl k.

Which absolute value functions will be narrower than the parent function f x x. Dilations change the shape of a graph often causing movement in the process. Which graph represents the function f x.

Absolute Value Function Transformations From the absolute value graph of the simplest function of this type we can obtain new ones by shifting it up down to the left or to the right absolute. Reflections and Translations of Absolute Value Functions DRAFT. What is the equation of the absolute value function.

Start studying Reflections and Dilations of Absolute Value Functions. Compresses wider shifts up 4 units. Stretches more narrow shifts up 4 units.

Every point of f has a corresponding image in f. Points at -43 Which graph represents the function f x -x - 2. Learn vocabulary terms and more with flashcards games and other study tools.

Stretches more narrow shifts down 4 units. Reflections and Dilations of Absolute Value Functions. Lastly a negative a value makes the V of the absolute value point down instead of how it normally points up.

Translations move a graph but do not change its shape. Reflections flip the graph like a mirror. Improve your math knowledge with free questions in Transformations of absolute value functions.

Check all that apply. In the standard form absolute value equation yax-hk h and k give us the coordinates of the vertex while a tells us the slope of the V. For the parent function y x the vertex is at the origin.

It is wider and shifted 3 units to the right. It is wider and shifted 3 units to the right. Which absolute value functions will be.

Which describes how the parent function f x x is transformed to show the functionf x 01x - 3. Ylx3l 9 y -2 lx-2l -3. You can learn more about graphing absolute value dilation and reflection in the accompanying lesson Graphing Absolute Value Equations.

Iii The graph of y f 1 x is the reflection of the graph of f in y x. Absolute Value Functions and Dilations. List the translations or reflections of this function.

Reflections and Dilations of Absolute Value Functions Which describes how the parent function fx x is transformed to show the functionfx 01x - 3. Translations reflections and dilations and thousands of other math skills. The vertexis either the lowest point or the highest point of a function.

Reflection over x-axis Down 2 Right 5. Compresses wider shifts down 4 units. Describe the transformation from the Absolute Value Parent Function.

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