ソ=f(x) 4- 2元 4- 2-十 4- 2.

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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what graph represents the graph of y=f(x+1)-2?

On this educational page, we are exploring four distinct graphs that illustrate different linear segments.

### Graph Description:

#### Graph A:
- The graph depicts a piecewise linear function.
- It starts at the point (-4, -2), moves upwards to (0, 2), creating a peak, and then descends slightly to (2, 0).

#### Graph B:
- This graph is mirrored along the vertical axis compared to Graph A.
- It begins at (2, 0) and ascends to a peak at (0, 2) before descending to (-2, 4).

#### Graph C:
- Graph C begins from (-4, -2) and rises to the highest point at (0, 2).
- It then slopes downwards to the endpoint at (2, -4).

#### Graph D:
- Starting at (-2, -4), the line ascends to the peak at (0, 2).
- It then slopes downward slightly to the point (2, 0), resembling an inverted version of Graph C.

Each graph presents a unique pattern made using linear segments that form a series of increasing and decreasing slopes across the domain. These graphs represent examples of piecewise functions, showcasing their varied behavior and structure.
Transcribed Image Text:On this educational page, we are exploring four distinct graphs that illustrate different linear segments. ### Graph Description: #### Graph A: - The graph depicts a piecewise linear function. - It starts at the point (-4, -2), moves upwards to (0, 2), creating a peak, and then descends slightly to (2, 0). #### Graph B: - This graph is mirrored along the vertical axis compared to Graph A. - It begins at (2, 0) and ascends to a peak at (0, 2) before descending to (-2, 4). #### Graph C: - Graph C begins from (-4, -2) and rises to the highest point at (0, 2). - It then slopes downwards to the endpoint at (2, -4). #### Graph D: - Starting at (-2, -4), the line ascends to the peak at (0, 2). - It then slopes downward slightly to the point (2, 0), resembling an inverted version of Graph C. Each graph presents a unique pattern made using linear segments that form a series of increasing and decreasing slopes across the domain. These graphs represent examples of piecewise functions, showcasing their varied behavior and structure.
Expert Solution
Step 1

Graph (B) is the correct graph.

Consider the given graph. Let the transformation be T1 and T2 to obtain y.

Algebra homework question answer, step 1, image 1

First use the horizontal transformation T1. Shift the curve y by 1 unit along negative x - axis.

T1=f(x+1)

Algebra homework question answer, step 1, image 2

 

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