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In the equation f(x) = (x + 3)2 - 2, the transformations of the graph are

a)A horizontal translation 3 units to the left and a vertical translation 2 units down.

b)A horizontal translation 3 units to the right and a vertical translation 2 units up.

c)A horizontal translation 3 units to the right and a vertical translation 2 units down.

d)A horizontal translation 3 units to the left and a vertical translation 2 units up.

Respuesta :

mhanifa

Answer:

  • a) A horizontal translation 3 units to the left and a vertical translation 2 units down.

Step-by-step explanation:

Given function:

  • f(x) = (x + 3)² - 2

This is a transformation of:

  • f(x) → f(x + 3) - 2
  • + 3 represents  horizontal translation 3 units left
  • - 2 represents vertical translation 2 units down

Correct choice is a)

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