Question

Which system of inequalities is graphed below?

- 10 -8 -8
-4
4
B
8
10
-8
-8-
-10

Answer 1

Option (1)

Explanation:

Parent function for both parabolas graphed is, y = x²

For the large parabola,

This parabola is formed by translating the parent function 4 units downwards.

So the equation will be, y = x² - 4

Now graph of the inequality shows the dotted line with shaded area inside the parabola,

Equation of the parabola will be,

y > x² - 4

Similarly, equation of the other parabola will be,

y < x² + 6 [Since shaded region is the region outside the dotted lines of the parabola]

So the system of inequalities will be,

y > x² - 4

y < x² + 6

Therefore, Option (1) will be the answer.