So the graph __________ is a ____________ in x-axis and _______ _____ units _________ of the graph of the parent ___________ function

1 answer

It seems like you're trying to describe a transformation of a parent function in terms of its graph, axes, and possibly units. To fill in the blanks accurately, more context is needed, such as the specific function you're referring to and the type of transformation (e.g., translation, stretching, compression, etc.).

Here’s a general structure you could use for various parent functions:

  1. For a quadratic function (e.g., \(f(x) = x^2\)):

    • "The graph of \(f(x) = (x - 2)^2 + 3\) is a translation in the x-axis and 3 unit upward of the graph of the parent quadratic function."
  2. For a linear function (e.g., \(f(x) = x\)):

    • "The graph of \(f(x) = 2x + 1\) is a vertical stretch in the x-axis and 1 unit upward of the graph of the parent linear function."
  3. For a cubic function (e.g., \(f(x) = x^3\)):

    • "The graph of \(f(x) = (x + 1)^3\) is a translation in the x-axis and 1 unit left of the graph of the parent cubic function."

Please provide the specific function or transformation details for a more tailored response!