When a figure is translated on a coordinate grid, what conclusion can you draw from the pre-image and image?
2 answers:
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Answer: The correct option is C.
Explanation:
A function is called an odd function if,
It means if the points are in the form of (x,y) then (-x,-y) is also in the graph.
Reason for correct option:
In option C, a point (1,2),
It means,
And we have another point (-1,-2).
The other points are (2,3),(-2,-3),(3,-1),(-3,1),(4,0),(-4,0). Therefore the function is an odd function.
Reason for incorrect option:
In option A, a point is (1,3), therefore the value of function at x = -1 should be -3.
But the value of function is 1 at x=-1, therefore it is not an odd function.
In option B, a point is (1,0), therefore the value of function at x = -1 should be 0.
But the value of function is -3 at x=-1, therefore it is not an odd function.
In option D, a point is (1,-1), therefore the value of function at x = -1 should be 1.
But the value of function is -1 at x=-1, therefore it is not an odd function.