# Write Linear Equation After Translation Worksheet

## 1 problems

Write linear equation after translation involves expressing a linear equation that has been shifted horizontally or vertically on a graph. This means adjusting the equation to reflect changes in its position without altering its slope. Understanding this concept helps in accurately representing linear relationships that have been moved within a coordinate plane. Use these worksheet to practice linear equation.

Algebra 1
Linear Relationship

## How Will This Worksheet on "Write Linear Equation After Translation" Benefit Your Student's Learning?

• Teaching how to shift linear equations horizontally or vertically on a coordinate plane.
• Applying math concepts to real-world scenarios involving translations.
• Developing problem-solving skills to model changes in data with translated equations.
• Fostering critical thinking about the effects of shifts on equations and interpretations.
• Providing groundwork for understanding more complex mathematical topics and applications.

## How to Write Linear Equation After Translation?

1. Understand the Original Equation: Begin with the standard form of a linear equation:  y = mx + b, where m is the slope and b is the y-intercept.

2. ...

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## Solved Example

Q. Find $g(x)$, where $g(x)$ is the translation $3$ units up of $f(x) = x$. Write your answer in the form $mx + b$, where $m$ and $b$ are integers.
Solution:
1. Identify $g(x)$: Identify $g(x)$ when translating $3$ units up of $f(x)$. Transformation rule: $g(x) = f(x) + k$
2. Substitute $3$ for $k$: Substitute $3$ for $k$ in $g(x) = f(x) + k$. $\newline$$g(x) = f(x) + 3$
3. We have: We have: $f(x) = x$ $\newline$$g(x) = f(x) + 3$
4. Substitute $x$ for $f(x)$: Substitute $x$ for $f(x)$ in $g(x) = f(x) + 3$. $g(x) = x + 3$

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