A function can be transformed by translation, reflection or rotation.
- The original point is (-4,3)
- The point then reflected over the x-axis is (-4,-3)
- The point then rotated 90 degrees clockwise is (3,4)
- The point then translated 4 units left and 3 units right is (-8,6)
(a) The original point
From the complete question (see attachment for graph), we have the following observations
- The x-coordinate of G is -4
- The y-coordinate is 3
So, the original location of G is:
[tex]G = (-4,3)[/tex]
(b) Reflect over the x-axis
The rule of this transformation is:
[tex](x,y) \to (x,-y)[/tex]
So, we have:
[tex](-4,3) \to (-4,-3)[/tex]
(c) Rotate 90 degrees clockwise
The rule of this transformation is:
[tex](x,y) \to (y,-x)[/tex]
So, we have:
[tex](-4,3) \to (3,4)[/tex]
(d) Translate 4 units left and 3 units up
The rule of this transformation 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]
Read more about transformations at:
https://brainly.com/question/13323362
