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>
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<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:
<u>(b) Reflect over the x-axis</u>
The rule of this transformation is:
So, we have:
<u>(c) Rotate 90 degrees clockwise</u>
The rule of this transformation is:
So, we have:
<u>(d) Translate 4 units left and 3 units up</u>
The rule of this transformation is:
So, we have:
Read more about transformations at:
