For this case we have the following functions:
We must find. By definition of compound functions we have to:
So:
Taking into account that:
Different signs are subtracted and the major sign is placed.
Finally we have to:
Answer:
When you solve a system of linear equations, you are finding the
2 answers:
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When a shape is rotated, it must be rotated through a point.
- <em>90 degrees counterclockwise rotation negates the y-coordinates, and then swap the x and y-coordinates</em>
- <em>Chanel is incorrect</em>
The rule of 90 degrees counterclockwise is:
This means that:
- <em>The y-coordinate is negated</em>
- <em>Then the y and x coordinates are swapped</em>
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However, Charlies transformation is incorrect.
- This is so because, the shape was not rotated, but instead it was reflected across the x-axis.
- Then, the shape was dilated
Using points L and Q
When L is reflected across the x-axis.
The rule is:
So, we have:
Next, it is dilated by 2.
The rule of this is:
So, we have:
From the diagram, the coordinate of Q is:
Same as the calculated point
Hence, Chanel is incorrect
Read more about transformation at: