What is the image point of left parenthesis, minus, 4, comma, 8, right parenthesis(−4,8) after a translation left 2 units and down 1 unit?

Answer 1

To find the image point of the point \((-4, 8)\) after a translation of left 2 units and down 1 unit, you can follow these steps:

1. Translation Left 2 Units: To translate left by 2 units, you subtract 2 from the x-coordinate: \[ -4 - 2 = -6 \]

2. Translation Down 1 Unit: To translate down by 1 unit, you subtract 1 from the y-coordinate: \[ 8 - 1 = 7 \]

Now, combining both translations, the new coordinates of the image point are: \[ (-6, 7) \]

Therefore, the image point after the translation is \((-6, 7)\).