Question

What are the coordinate points of E′ if E(−9, 8)
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, \( E' = (-22, 29) \).