Question

Which system of inequalities is graphed below?

Answer 1

b is your answer

hope i helped

Answer 2

Option A is the answer.

Explanation:

Parent function of the given parabola is y = x² which passes through origin (0,0).

If we convert this function in the form of inequality y > x² then the outlines of the graph will be dotted and shaded part will be inside the parabola upwards.

Now we shift this parabola 2 unit upwards on y axis then inequality becomes y > x² + 2 ( shaded in orange color )

when we shift the parent function 6 units downwards then inequality formed will be y > x² - 6 as shown in other color.

Therefore, system of inequalities are y > x² + 2 and y > x²- 6

Option A is the answer.