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Describe two different ways to use transformations to change f(x) = x into g(x)=-3x-12

Respuesta :

mhanifa

Answer:

See below

Step-by-step explanation:

Given

  • Function f(x) = x

Transformation ways

1. Reflection by a factor of (-3) and vertical shift down -12 units

  • f(x) = x →  (-3) ⇒ h(x) = -3x →  (-12) ⇒ g(x) = -3x - 12

2. Vertical shift up by 4 units and reflection by a factor of (-3)

  • f(x) = x → (+4) ⇒ h(x) = x + 4 → (-3) ⇒ g(x) = -3x - 12

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