Transformation involves changing the position of a point.
- The original point is (-4,-3)
- When reflected over the x-axis, the point is (-4,-3)
- When rotated 90 degrees clockwise direction, the new point is (3,4)
- When translated 4 units left and 3 units up, the new point is (-8,6)
Original location
From the graph, the original position is:
[tex]G = (-4,3)[/tex]
Reflection
The rule of reflection over the x-axis is:
[tex](x,y) \to (x,-y)[/tex]
So, we have:
[tex](-4,3) \to (-4,-3)[/tex]
So, the new point is:
[tex]G' = (-4,-3)[/tex]
Rotation
The rule of 90 degrees clockwise rotation is:
[tex](x,y) \to (y,-x)[/tex]
So, we have:
[tex](-4,3) \to (3,4)[/tex]
So, the new point is:
[tex]G" = (3,4)[/tex]
Translation
The translation rule of 4 units left and 3 units up is:
[tex](x,y) \to (x-4,y+3)[/tex]
So, we have:
[tex](-4,3) \to (-4-4,3+3)[/tex]
[tex](-4,3) \to (-8,6)[/tex]
So, the new point is:
[tex]G"' = (-8,6)[/tex]
See attachment for the original point and the transformed points
Read more about transformation at:
https://brainly.com/question/11709244
