Respuesta :

Answer:

  • B. g(x) = - (x + 3)² + 4

Step-by-step explanation:

The function is f(x) = x²

Transformation steps

1. Reflection across the x-axis:

  • x² → -x²

2. Translation 3 units to the left:

  • - x² → - (x + 3)²

3. Translation 4 units up:

  • - (x + 3)² + 4

The new function is:

  • g(x) = - (x + 3)² + 4

Correct choice is B