Quadratic Inequality (Period 4)

Front

What is a quadratic inequality?

Back

Front

How do you determine the solution area for a quadratic inequality?

Back

To determine the solution area, you can test a point not on the boundary (the parabola) to see if it satisfies the inequality. If it does, the area containing that point is part of the solution.

Front

What does the shaded area represent in a graph of a quadratic inequality?

Back

The shaded area represents the set of all points (x, y) that satisfy the inequality.

Front

What is the vertex of a parabola?

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards.

Front

What is the axis of symmetry in a quadratic function?

Back

Front

What is the standard form of a quadratic equation?

Back

Front

What does it mean if a quadratic inequality is graphed as a dashed line?

Back

A dashed line indicates that points on the line are not included in the solution set (i.e., the inequality is strict, such as < or >).

Front

What does it mean if a quadratic inequality is graphed as a solid line?

Back

A solid line indicates that points on the line are included in the solution set (i.e., the inequality is non-strict, such as ≤ or ≥).

Front

How can you find the x-intercepts of a quadratic function?

Back

To find the x-intercepts, set the quadratic equation equal to zero and solve for x using factoring, completing the square, or the quadratic formula.

Front

What is the quadratic formula?

Back