mariejj595 mariejj595
  • 24-03-2024
  • Mathematics
contestada

10
40
g(x)
f(x)
-5
10
5
-10年
Text description for graph
A. g(x)=-3
OB. g(x)=(x-3)²
C. g(x) = (x+3)²
OD. g(x) = x²+3

10 40 gx fx 5 10 5 10年 Text description for graph A gx3 OB gxx3 C gx x3 OD gx x3 class=

Respuesta :

jimrgrant1 jimrgrant1
  • 24-03-2024

Answer:

C

Step-by-step explanation:

given the graph of f(x) then f(x ± a) is the graph of f(x) translated horizontally by a units

• if a > 0 , then a shift to the left of a units

• if a < 0, then a shift to the right of a units

Here the vertex of f(x) is at (0, 0 ) , and the vertex of g(x) is at (- 3, 0 )

That is, the graph of g(x) is the graph of f(x) shifted 3 units left , then

g(x) = (x + 3 )²

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