Question

Draw the image located at (1,2), (4,3), and (3,0) then for the following mappings. (x,y)>(-x,y+4).

Answer 1

We are going to apply transformations on a coordinate plane.

We are given the rule:

$(x,y)\rightarrow(-x,y+4)$

According to this rule, we are going to do two things:

1. Reflect across the y-axis (since we have x to -x, we have a left/right reflection).

2. We will translate 4 units up (y controls the vertical change).

Here is our original graph:

We can now change the points using the rule provided:

$(1,2)\rightarrow(-1,2+4)\rightarrow(-1,6)$$(4,3)\rightarrow(-4,3+4)\rightarrow(-4,7)$$(3,0)\rightarrow(-3,0+4)\rightarrow(-3,4)$

When we graph our new points, we have: