What are the coordinate points of E′ if E(−9, 8)

Question

is translated left 13 units, then up 21 units? (Click for Help Video)

(1 point)
E′ =

Answer 1

To find the coordinates of the point \( E' \) after translating point \( E(-9, 8) \) left 13 units and then up 21 units, we can follow these steps:

1. Translate left 13 units:

   • To move left, we subtract from the x-coordinate: \[ x' = -9 - 13 = -22 \]

2. Translate up 21 units:

   • To move up, we add to the y-coordinate: \[ y' = 8 + 21 = 29 \]

Putting it all together, the new coordinates for point \( E' \) are: \[ E' = (-22, 29) \]

So, \( E' = (-22, 29) \).