Answer :
The coordinates of vertex A in the image triangle are (-7, 4)
How to determine the transformation?
The vertex of A is given as:
A = (-4, -1)
The rule of 90° clockwise rotation is
(x,y) => (y,-x)
So, we have:
A' = (-1, 4)
The rule of shifting the triangle left by 6 units is
(x,y) => (x - 6,y)
So, we have:
A" = (-1 - 6, 4)
Evaluate
A" = (-7, 4)
Hence, the coordinates of vertex A in the image triangle are (-7, 4)
Read more about transformation at:
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Complete question
Triangle ABC is rotated about the origin 90° clockwise and then translated 6 units to the left. This sequence of transformations produces the image, triangle.
The coordinates of vertex A in the preimage triangle are A(-4, -1), what are the coordinates of vertex A in the image triangle