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This absolute value graph is not a reflection of its parent graph. This graph shifted up -10 -5 10 -5- 0 -5- -10 5 10 ✓by 3 units.

This absolute value graph is not a reflection of its parent graph. This graph shifted up -10 -5 10 -5- 0 -5- -10 5 10 ✓by 3 units.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question

1.  Is this a square root graph, rational graph, absolute value graph or a cubic graph?

2. Is it a reflection of its parent graph yes or no?

3. is this graph shifted up, down, left or right and how many units is if its shifted?

4.  Answer options 1 , 2 or 3 units

**Graph Description for Educational Website** This text explains an absolute value graph with key transformations: - **Type of Graph**: Absolute value graph. - **Reflection**: The graph is not a reflection of its parent graph. - **Translation/Shift**: The graph is shifted up by 3 units. **Graph Explanation:** The graph displayed is a V-shaped absolute value graph. The vertex of the graph is at the origin (0,0) in the parent function, but here, it appears to be shifted vertically upwards. This is indicated by the movement of the vertex to the point (0, 3). The V-shape is symmetrical across the y-axis. **Axes and Grid Details:** - The x-axis ranges from -10 to 10, with tick marks at each integer. - The y-axis ranges from -10 to 10, also with tick marks at each integer. - The lines are represented in orange. This illustration provides a visual understanding of how vertical transformations affect the absolute value function.
Transcribed Image Text:**Graph Description for Educational Website** This text explains an absolute value graph with key transformations: - **Type of Graph**: Absolute value graph. - **Reflection**: The graph is not a reflection of its parent graph. - **Translation/Shift**: The graph is shifted up by 3 units. **Graph Explanation:** The graph displayed is a V-shaped absolute value graph. The vertex of the graph is at the origin (0,0) in the parent function, but here, it appears to be shifted vertically upwards. This is indicated by the movement of the vertex to the point (0, 3). The V-shape is symmetrical across the y-axis. **Axes and Grid Details:** - The x-axis ranges from -10 to 10, with tick marks at each integer. - The y-axis ranges from -10 to 10, also with tick marks at each integer. - The lines are represented in orange. This illustration provides a visual understanding of how vertical transformations affect the absolute value function.
The image contains a labeled grid with drop-down fillable boxes followed by a graph. **Text Description:** - There is a sentence with fillable drop-down menus and a text box: - "This [drop-down] graph [drop-down] a reflection of its parent graph. This graph shifted [drop-down] by [text box] units." **Graph Description:** - The graph is centered on the origin with the x-axis and y-axis ranging from -10 to 10. - The graph shows a curve in orange that resembles a cubic function. - It starts from the bottom left quadrant, passes through the origin, and extends to the top right quadrant, displaying an increasing trend. **Axes:** - Both axes are labeled with increments of 5 (-10, -5, 0, 5, 10).
Transcribed Image Text:The image contains a labeled grid with drop-down fillable boxes followed by a graph. **Text Description:** - There is a sentence with fillable drop-down menus and a text box: - "This [drop-down] graph [drop-down] a reflection of its parent graph. This graph shifted [drop-down] by [text box] units." **Graph Description:** - The graph is centered on the origin with the x-axis and y-axis ranging from -10 to 10. - The graph shows a curve in orange that resembles a cubic function. - It starts from the bottom left quadrant, passes through the origin, and extends to the top right quadrant, displaying an increasing trend. **Axes:** - Both axes are labeled with increments of 5 (-10, -5, 0, 5, 10).
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