State the order and type of each transformation of the graph of the function
ƒ(x) = 4(x + 9)2 as compared to the graph of the base function.

Respuesta :

Using translation concepts, compared to the graph of the base function g(x) = x², the function f(x) was:

  • Vertically stretched by a factor of 4.
  • Shifted left by 9 units.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the base function g(x) = x² was:

  • Multiplied by 4, that is, vertically stretched by a factor of 4.
  • Shifted left 9 units, as x -> x + 9.

More can be learned about translation concepts at https://brainly.com/question/4521517

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