Respuesta :

Answer: [tex]f(x) = (x+5)^{2}[/tex]

Step-by-step explanation:

the graph is shifted 5 units left

[tex]f(x) = (x+5)^{2}[/tex]

to check, set x + 5 = 0 and your x value equals -5, which correlates on the graph as well.

Answer:

g(x) = x² + 10x + 25

Step-by-step explanation:

Comparing g(x) to f(x) :

  • It has shifted 5 units left

Hence, the equation for g(x) :

  • g(x) = f(x + 5)
  • g(x) = (x + 5)²
  • g(x) = x² + 10x + 25