Question

Identify the translation of the vertices P (-4, -5), L (1, -7), and K (-9, 8), along the vector , <-6 , 3 >.

Answer 1

Given:

The vertices are P (-4, -5), L (1, -7), and K (-9, 8).

The vector is < -6,3 >.

Aim:

We need to find the image of the vertices when translating given vertices along the vector.

Step-by-step explanation:

The translation vector <-6,3> means each point is being moved 6 units to the left and 3 units up.

For each vertex, we subtract 6 from each x value and add 3 to each y value.

`P^(\prime)(-4-6,-5+3)=P^(\prime)(-10,-2)`
`L^(\prime)(1-6,-7+3)=L^(\prime)(-5,-4)`
`K^(\prime)(-9-6,8+3)=K^(\prime)(-15,11)`

Final answer:

`P^(\prime)(-10,-2)`

`L^(\prime)(-5,-4)`

`K^(\prime)(-15,11)`