Math Problem Statement
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
Solution
Let's first rewrite the equation to make it clearer:
This equation represents a linear function of the form , where is the slope and is the y-intercept.
Now let's analyze any transformations:
- Horizontal Translation: There are no parentheses involving , meaning no shift left or right.
- Vertical Translation: The y-intercept changes from 0 (for ) to . This is a shift down by 1 unit.
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 .
Would you like more details or have other questions?
Here are 5 related questions to expand your knowledge:
- How do horizontal translations differ from vertical translations in linear equations?
- What happens when you multiply the slope by a negative value?
- How does the equation transform compared to ?
- What is the general form of a linear equation involving both horizontal and vertical shifts?
- Can you identify the slope and y-intercept from the equation ?
Tip: Always look for parentheses involving to spot horizontal translations directly!
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Transformations
Vertical Translations
Formulas
y = mx + b (Slope-Intercept Form)
Theorems
Linear transformation theorem
Suitable Grade Level
Grades 8-10