Quadratic Inequalities Quiz

The video tutorial explains how to graph the solution to a system of quadratic inequalities. It involves solving each inequality separately and graphing them to find the double shaded region, which represents the solution. The first inequality is graphed with a dashed parabola, while the second uses a solid parabola. The tutorial also covers identifying vertices, axes of symmetry, and intercepts, and verifying solutions using test points.

What is the solution to a system of quadratic inequalities?

• The intersection of the x and y axes

• The area under the x-axis

• The double shaded region

• The region where the graphs do not overlap

What type of line is used to graph the first inequality?

• Thick line

• Dotted line

• Solid line

• Dashed line

What is the vertex of the first quadratic inequality?

• (2, 2)

• (0, 0)

• (1, 7)

• (0, 6)

How do you determine the y-intercept of a quadratic function?

• Use the axis of symmetry

• Find the vertex

• Set x to zero

• Set y to zero

What is the purpose of selecting a test point in the shaded region?

• To find the vertex

• To verify the correct region is shaded

• To determine the axis of symmetry

• To calculate the slope

What is the value of 'a' in the second quadratic inequality?

• 0

• 2

• -1

• 1

What is the vertex of the second quadratic inequality?

• (0, 0)

• (2, 2)

• (1, 7)

• (0, 6)

How is the second parabola graphed?

• With a dashed line

• With a solid line

• With a thick line

• With a dotted line

What is the y-intercept of the second quadratic inequality?

• (2, 2)

• (1, 7)

• (0, 6)

• (0, 0)

What is the final solution to the system of quadratic inequalities?

• The region above both parabolas

• The region below both parabolas

• The double shaded region

• The area outside the parabolas