Which of the following transformations of f(x) = | x | has no effect on its graph?
1 answer:
Answer:
A) Reflection over the y-axis
Step-by-step explanation:
The graph is given as : f(x) = | x |
As attached, the graph open upwards originating from the origin.
A reflection on the y-axis will map the points on the right to points on the left. For example, a point (4,4) will map to point (-4,4) and vice versa to maintain the same graph with no effect.
Answer choice B is incorrect in that a point (-2,2) will be mapped to (2,-2) which has an effect on the -ve sign which will shift from the x-coordinate to the y coordinate.
Answer choice C is incorrect because a point (2,2) will be mapped to a point (-2,-2) which has an effect in that the transformation has introduced a -ve sign in its object coordinates for the image coordinates.
Answer choice D is incorrect because the graph formed for the image will open downwards unlike the graph for the object.
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Answer : No solutions
(I tried making it as detailed as possible, I apologize if you don’t understand it)
(I tried making it as detailed as possible, I apologize if you don’t understand it)