This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
To translate a point (x, y) by a certain amount horizontally and vertically, you add or subtract from its coordinates. • Moving right means adding to the x-coordinate. • Moving left means subtracting from the x-coordinate. • Moving up means adding to the y-coordinate. • Moving down means subtracting from the y-coordinate. Since no initial coordinates for a shape are provided, we will express the translated coordinates in terms of an arbitrary original point (x, y). 1. Translate 4 left and 2 down. Step 1: Identify the changes in coordinates. Moving 4 left means x x - 4. Moving 2 down means y y - 2. Step 2: Apply the changes to the original coordinates (x, y). The new coordinates (x', y') will be (x-4, y-2). The image coordinates are (x-4, y-2). 2. Translate 3 right and 5 up. Step 1: Identify the changes in coordinates. Moving 3 right means x x + 3. Moving 5 up means y y + 5. Step 2: Apply the changes to the original coordinates (x, y). The new coordinates (x', y') will be (x+3, y+5). The image coordinates are (x+3, y+5). Send me the next one 📸