Question

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

Answer 1

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

Answer 2

• See below

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