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![Question 8
1 point
The point
A(3,5) is mapped onto
A^(')(3,-5) by a transformation represented by the matrix
T. The matrix
T could be
([1,0],[1,1])quad([1,-1],[0,1])
A
B
([-1,0],[0,-1])quad([1,0],[0,-1])
C
D](https://blblobstorage.blob.core.windows.net/solver-b2c/f3ef750e-01c4-11ef-8733-d696aa7808ea.jpg)
Question * pointThe point is mapped onto by a transformation represented by the matrix . The matrix could beABCD
Full solution
Q. Question * pointThe point is mapped onto by a transformation represented by the matrix . The matrix could beABCD
- Question Prompt: Question prompt: Find the matrix that maps point onto .
- Transformation Matrix Calculation: To find the transformation matrix, we need to consider how the and coordinates change. The -coordinate stays the same, so the first column of should be . The -coordinate changes sign, so the second column of should be .
- Correct Matrix Identification: Looking at the options, the matrix that has as the first column and as the second column is the correct transformation matrix.
- Correct Matrix Identification: Looking at the options, the matrix that has as the first column and as the second column is the correct transformation matrix.Option C has the matrix , which flips both and coordinates, which is not what we want. Option D has the matrix , which keeps the -coordinate the same and flips the -coordinate, which is the transformation we're looking for.
