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Feliz [49]
2 years ago
10

If f(x) = x^3 and g(x) = -2x^3, how has f(x) been transformed to get g(x)?

Mathematics
1 answer:
devlian [24]2 years ago
4 0

The transformation that is applied to f(x) to get g(x) is that the function f(x) is vertically stretched by a factor of -2.

<h3>How does the transformation of a function happen?</h3>

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

  • Left shift by c units, y=f(x+c) (same output, but c units earlier)
  • Right shift by c units, y=f(x-c)(same output, but c units late)

Vertical shift

  • Up by d units: y = f(x) + d
  • Down by d units: y = f(x) - d

Stretching:

  • Vertical stretch by a factor k: y = k × f(x)
  • Horizontal stretch by a factor k: y = f(x/k)

If f(x) = x³ and g(x) = -2x³, then the transformation that is applied to f(x) to get g(x) is that the function f(x) is vertically stretched by a factor of -2.

Hence, the transformation that is applied to f(x) to get g(x) is that the function f(x) is vertically stretched by a factor of -2.

Learn more about Transforming functions:

brainly.com/question/17006186

#SPJ1

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