If you have a negative sign in front of the "x", this represents what type of transformation?
Question
If you have a negative sign in front of the "x", this represents what type of transformation?
Solution
A negative sign in front of the "x" in a function represents a reflection of the graph of the function across the y-axis. This is a type of transformation in the field of mathematics, specifically in function graphing.
Here are the steps to visualize this transformation:
- Start with the original function. For example, y = f(x).
- Replace x with -x in the function. The new function is y = f(-x).
- Now, compare the graph of y = f(x) and y = f(-x). You will notice that the graph of y = f(-x) is the mirror image of the graph of y = f(x) with respect to the y-axis.
- This mirror image or flipping of the graph across the y-axis is the transformation represented by the negative sign in front of the "x".
So, in summary, a negative sign in front of the "x" in a function represents a reflection across the y-axis.
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