which inequality is graphed below
a. y<x2+4x+4
b. y2+4x+4
c. y>x2+4x+4
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Answer:
c.
Step-by-step 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.