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Which system of equations is represented by the graph?

one parabola opening upwards and one parabola opening downwards intersecting at points (2, 12) and (-2, 12)

y = x2 + 4x

y = –x2 + x + 12
y = x2 – 8

y = –x2 +16
y = x2 + 8

y = –x2 + 16
y = x2

y = –x2 – x –16

Respuesta :

mhanifa

Answer:

  • See below

Step-by-step explanation:

Find the value of y when x = 2 or x = -2 to determine the system

It is easy to calculate and confirm the correct equations

  • y = –x² + 16
  • y = x² + 8

See the attached to verify the answer

Ver imagen mhanifa

Check option C

  • y=-x²+16

Put (2,12)

  • 12=-(2)²+16=-4+16=12

And

  • y=x²+8

Put(-2,12)

  • 12=(-2)²+8=4+8=12

Hence verified

Option C is correct

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