Reflections Summary

Reflections Summary

Both types of reflections are identified by a negative sign.

Y-Axis Reflection

Given an original graph f(x) the transformed graph g(x) = f(-x)

The negative sign multiplies with the x-variable itself.

For instance the graph ln(-x) is a y-axis reflection.

X-Axis Reflection

Given an original graph f(x) the transformed graph g(x) = -f(x)

The negative sign is outside of the original function.

For instance the graph -ln(x) is an x-axis reflection.

Not sure you have it? Check out Animated Precalculus - Reflections(both x and y)

Once again, the Key Difference between them is that a y-axis reflection happens inside the function and an x-axis reflection happens outside the function:

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