A function can be transformed by translation, reflection or rotation.
- <em>The original point is (-4,3)</em>
- <em>The point then reflected over the x-axis is (-4,-3)</em>
- <em>The point then rotated 90 degrees clockwise is (3,4)</em>
- <em>The point then translated 4 units left and 3 units right is (-8,6)</em>
<em />
<u>(a) The original point</u>
From the complete question (see attachment for graph), we have the following observations
- <em>The x-coordinate of G is -4</em>
- <em>The y-coordinate is 3</em>
So, the original location of G is:
![G = (-4,3)](https://tex.z-dn.net/?f=G%20%3D%20%28-4%2C3%29)
<u>(b) Reflect over the x-axis</u>
The rule of this transformation is:
![(x,y) \to (x,-y)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%5Cto%20%28x%2C-y%29)
So, we have:
![(-4,3) \to (-4,-3)](https://tex.z-dn.net/?f=%28-4%2C3%29%20%5Cto%20%28-4%2C-3%29)
<u>(c) Rotate 90 degrees clockwise</u>
The rule of this transformation is:
![(x,y) \to (y,-x)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%5Cto%20%28y%2C-x%29)
So, we have:
![(-4,3) \to (3,4)](https://tex.z-dn.net/?f=%28-4%2C3%29%20%5Cto%20%283%2C4%29)
<u>(d) Translate 4 units left and 3 units up</u>
The rule of this transformation is:
![(x,y) \to (x - 4,y+3)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%5Cto%20%28x%20-%204%2Cy%2B3%29)
So, we have:
![(-4,3) \to (-4 - 4,3+3)](https://tex.z-dn.net/?f=%28-4%2C3%29%20%5Cto%20%28-4%20-%204%2C3%2B3%29)
![(-4,3) \to (-8,6)](https://tex.z-dn.net/?f=%28-4%2C3%29%20%5Cto%20%28-8%2C6%29)
Read more about transformations at:
brainly.com/question/13323362