 y=2x+1-2  What is the transformation? 

A.Vertical Translation up 2 and Horizontal translation right 1

B. Vertical Translation down 2 and Horizontal Translation left 1 

C.Horizontal Translation left 2 and Vertical Translation up 1 

D.Horizontal Translation right 2 and Vertical Translation down 1

Let's first rewrite the equation \( y = 2x + 1 - 2 \) to make it clearer:

\[
y = 2x - 1
\]

This equation represents a **linear function** of the form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.

### Now let's analyze any transformations:  
- **Horizontal Translation**: There are no parentheses involving \(x\), meaning no shift left or right.
- **Vertical Translation**: The y-intercept changes from 0 (for \(y = 2x\)) to \(-1\). This is a **shift down by 1 unit**.

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### Final Answer:  
The correct option is:

**None of the listed options exactly fit.**

Explanation:
- There is only a **vertical translation down by 1 unit**.  
- No horizontal translation occurs because the equation is not written in a shifted form like \( y = 2(x - h) + k \).

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Would you like more details or have other questions?

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Here are 5 related questions to expand your knowledge:  
1. How do horizontal translations differ from vertical translations in linear equations?  
2. What happens when you multiply the slope \( m \) by a negative value?  
3. How does the equation \( y = 2(x - 2) + 3 \) transform compared to \( y = 2x \)?  
4. What is the general form of a linear equation involving both horizontal and vertical shifts?  
5. Can you identify the slope and y-intercept from the equation \( y = 3x - 4 \)?  

**Tip:** Always look for parentheses involving \(x\) to spot horizontal translations directly!

y = 2x + 1 - 2 What is the transformation?

A. Vertical Translation up 2 and Horizontal translation right 1
B. Vertical Translation down 2 and Horizontal Translation left 1
C. Horizontal Translation left 2 and Vertical Translation up 1
D. Horizontal Translation right 2 and Vertical Translation down 1

Understand the transformations of the linear equation y = 2x - 1. Explore how vertical translations affect the graph of a line and learn why no horizontal translations are involved in this problem. Suitable for students in Grades 8-10.

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