If the domain of the function F = {(x, y) | 2x + y = 7} is {1, 2, 3}, what is the range?
1 answer:
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Answer:
see below
Step-by-step explanation:
A. Reflection across the y-axis replaces each x coordinate with its opposite.
B. Rotation 90° CW does the transformation (x, y) ⇒ (y, -x)
C. This is a translation left 2 units.
D. Rotation 90° CCW does the transformation (x, y) ⇒ (-y, x)
E. This is a translation left 7 and down 2.
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In the attached graphs, we have identified a point that is a corresponding point on each figure. This is so you can see how the various transformations move it and the rest of the figure in relation to it. 90° arcs are shown so you can see the rotations more easily.
The figures are labeled and color coded in accordance with the problem statement.
