Questions: Describe the translation that maps each preimage to its image in (a) coordinate notation (b) as a vector in component form.

Transcript text: Describe the translation that maps each preimage to its image in (a) coordinate notation (b) as a vector in component form.

Solution

Solution Steps

Step 1: Find the coordinate notation for problem 8.

The translation moves each point 5 units to the right and 4 units up. This can be expressed in coordinate notation as $(x, y) \rightarrow (x+5, y+4)$.

Step 2: Find the vector component form for problem 8.

The vector component form representing the translation of 5 units to the right and 4 units up is written as $\langle 5, 4 \rangle$.

Step 3: Find the coordinate notation for problem 9.

The translation moves each point 0 units to the right or left, and 4 units down. This can be expressed in coordinate notation as $(x, y) \rightarrow (x, y-4)$.