What is the image point of left parenthesis, minus, 6, comma, 9, right parenthesis(−6,9) after a translation left 4 units and down 1 unit?

To find the image of the point \((-6, 9)\) after a translation left 4 units and down 1 unit, we will apply the following transformations:

1. **Translation left 4 units**: Subtract 4 from the x-coordinate.
2. **Translation down 1 unit**: Subtract 1 from the y-coordinate.

The original point is \((-6, 9)\).

1. Subtract 4 from the x-coordinate: \(-6 - 4 = -10\)
2. Subtract 1 from the y-coordinate: \(9 - 1 = 8\)

So, the new coordinates after the translation are \((-10, 8)\).

The image of the point \((-6, 9)\) after the translation is \((-10, 8)\).

Would you like more details on how this works or have any other questions?

Here are 5 related questions:
1. What is the image of the point \((2, 5)\) after translating 3 units left and 4 units up?
2. How do you translate a point if you're given the translation rule \((x, y) \to (x+3, y-2)\)?
3. What is the formula for translating a point by \(a\) units horizontally and \(b\) units vertically?
4. If a point \((x, y)\) is translated 7 units to the right and 2 units down, what is its new position?
5. How can you describe a translation on the coordinate plane in terms of a vector?

**Tip**: When translating points, always adjust the coordinates directly according to the given horizontal and vertical shifts.

What is the image point of left parenthesis, minus, 6, comma, 9, right parenthesis (−6, 9) after a translation left 4 units and down 1 unit?

Discover how to translate the point (-6, 9) by moving it 4 units to the left and 1 unit down. This solution walks through the step-by-step process, making it perfect for students in Grades 6-8 who are learning about coordinate geometry and translation.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation