Answer:
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.