Question

Nick will move a storage bin from its current location to the new location shown on the coordinate plane. Describe how Nick could do this, using transformations.

Answer 1

Move downward by 7 units

Move leftward by 6 units

`(x,y) \to (x -6,y-7)`

Explanation:

Given

See attachment for grid

Required

The transformation from the current location to the new location

To do this, we pick two corresponding points on the current location and the new location.

We have:

`A = (3,2)` -- Current location

`A' = (-6,-5)` -- New location

First, move A downwards by 7 units.

The rule to this is:

`(x,y) \to (x,y-7)`

So, we have:

`(3,2) \to (3,2-7)`

`(3,2) \to (3,-5)`

Next, move the above points leftward by 6 units.

The rule to this is:

`(x,y) \to (x-6,y)`

So, we have:

`(3,-5) \to (3-6,-5)`

`(3,-5) \to (-3,-5)`