adrianj78901
adrianj78901 adrianj78901
  • 10-06-2021
  • Mathematics
contestada

Which graph matches the equation y+3=2(x+3)?

A (0,3) (-3,-3)
B (0,6) (-3,0)
C (0,-3) (-3,-9)
D (3,3) (0,-3)​

Respuesta :

joaobezerra joaobezerra
  • 15-06-2021

Answer:

A (0,3) (-3,-3)

Step-by-step explanation:

A graph will match the equation if both the coordinates points replaced in the equation generate a identity.

When x = -3

[tex]y + 3 = 2(x + 3)[/tex]

[tex]y + 3 = 2(-3 + 3)[/tex]

[tex]y + 3 = 0[/tex]

[tex]y = -3[/tex]

So (-3,-3) is part of the graph.

When x = 0

[tex]y + 3 = 2(x + 3)[/tex]

[tex]y + 3 = 2(0 + 3)[/tex]

[tex]y + 3 = 6[/tex]

[tex]y = 3[/tex]

So (0,3) is part of the solution.

(-3,-3) and (0,3), so option A.

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