Quadratic Inequality Do Now! 12/3

Front

What is a quadratic inequality?

Back

Front

How do you graph a quadratic inequality?

Back

To graph a quadratic inequality, first graph the corresponding quadratic equation as a boundary. Then, determine which side of the parabola represents the solution set by testing a point.

Front

What does the vertex of a parabola represent in a quadratic inequality?

Back

The vertex of a parabola represents the maximum or minimum point of the quadratic function, which is crucial in determining the direction of the inequality.

Front

What is the significance of the shaded region in the graph of a quadratic inequality?

Back

The shaded region in the graph indicates the set of all points that satisfy the inequality.

Front

What does it mean if a point lies in the non-shaded region of a quadratic inequality graph?

Back

If a point lies in the non-shaded region, it does not satisfy the inequality.

Front

How can you determine if a point is a solution to a quadratic inequality?

Back

To determine if a point is a solution, substitute the x and y values of the point into the inequality and check if the inequality holds true.

Front

What is the standard form of a quadratic equation?

Back

Front

What is the axis of symmetry in a quadratic function?

Back

Front

What does the term 'solution set' refer to in the context of inequalities?

Back

The solution set refers to all the values of the variable that make the inequality true.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (<, >) do not include the boundary, while non-strict inequalities (≤, ≥) include the boundary.