To choose: the correct inequality to represent the given graph.
The correct inequality to represent the given graph is B.
Given information:
The given inequality are
A
B
C
D.
The given graph of the quadratic inequality is
Formula used:
Standard equation of a parabola is of the form
If a quadratic inequality is less than or greater than type then the outline of the parabola is a dashed line.
If a quadratic inequality is less than equal to or greater than equal to type then the outline of the parabola is a solid line.
If
If
Calculation:
The outline of the parabola is a solid line.
So, the inequality is greater than equal to type.
The vertex is at
Now, check for
Now, check for
Here,
The parabola is open upwards
Now, take
Which is false.
So, the parabola is satisfied by
The shaded region will be inside and the outline of the parabola.
The parabola is open upwards as
The correct inequality to represent the given graph is
Chapter 1 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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