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When a function f(x) is changed by changing the sign of the input as in f(-x), how does the graph change ?

User Tahj
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Final answer:

When the sign of the input in a function is changed, the graph is reflected about the y-axis. For example, if the original graph had a point (2, 3), the new graph will have a corresponding point (-2, 3).

Step-by-step explanation:

When a function f(x) is changed by changing the sign of the input as in f(-x), the graph of the function is reflected about the y-axis.

This means that every point (x, y) on the original graph is transformed to the point (-x, y) on the new graph.

The shape of the graph remains the same, but it is now flipped horizontally.

For example, if the original graph had a point (2, 3), the new graph will have a corresponding point (-2, 3).

User Shulhi Sapli
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