Question

Which inequality is graphed below

a. y<x2+4x+4
b. y2+4x+4
c. y>x2+4x+4

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Answer 1

c.

Explanation:

The graph will be shaded above the boundary line when the inequality is of the form ...

y > ( )

The boundary line will be solid when the comparison includes the "or equal to" case:

y ≥ ( )

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Here, the parabola will open upward if the leading coefficient is positive:

y ≥ x² + ( )

The shading above the solid line tells you the inequality is ...

y ≥ ( ) . . . . . matches choice C

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Additional comment

The parent function x² is shifted left 2 units, so the graph is of (x +2)². The expanded form of this matches choice C.