14.3 Reflection across the y-axis: y=f(x)y = f(-x)

Reflection across the y-axis: y=f(x)y = f(-x)

Besides translations, another kind of transformation of function is called reflection. If a reflection is about the y-axis, then, the points on the right side of the y-axis gets to the right side of the y-axis, and vice versa.

Lessons

    • a)
      Sketch the following functions:
      y=(x4)3y = {\left( {x - 4} \right)^3}      VS.      y=(x4)3y = {\left( { - x - 4} \right)^3}
    • b)
      Compared to the graph of y=(x4)3y = {\left( {x - 4} \right)^3}:
      • the graph of y=(x4)3y = {\left( { - x - 4} \right)^3} is a reflection in the ________________________.
    • a)
      y=f(x)y = f\left( { - x} \right)
    • b)
      In conclusion:
      (x)(x)\left( x \right) \to \left( { - x} \right): reflection in the _________________________ ? all xx coordinates _________________
Teacher pug

Reflection across the y-axis: y=f(x)y = f(-x)

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