Graphing Quadratic Inequalities Quiz

What is the primary goal when graphing a system of quadratic inequalities?

• To determine the x-intercepts of each equation

• To find the vertex of each parabola

• To calculate the slope of each line

• To identify the intersection of the graphs

When graphing the first inequality, what is the first step?

• Determine the slope

• Convert the inequality to an equation

• Shade the region

• Find the x-intercepts

How do you decide if the parabola should be dashed or solid?

• By checking the vertex

• By looking at the inequality symbol

• By finding the x-intercepts

• By testing a point

Which point is commonly tested to determine the shading of the region?

• (1, 1)

• (0, 0)

• (-1, -1)

• (2, 2)

What does it mean if the test point satisfies the inequality?

• The point is a solution to the inequality

• The point is on the parabola

• The point is irrelevant

• The point is outside the parabola

What method is used to graph the second inequality?

• Factoring to find zeros

• Using the quadratic formula

• Completing the square

• Graphing by inspection

How do you find the x-coordinate of the vertex for the second inequality?

• By testing a point

• By completing the square

• By using the quadratic formula

• By averaging the x-intercepts

What determines if the second parabola should be solid?

• The slope of the parabola

• The number of x-intercepts

• The position of the vertex

• The presence of an equal sign in the inequality

What is the final step in solving the system of quadratic inequalities?

• Finding the vertex of each parabola

• Identifying the intersection of the shaded regions

• Testing additional points

• Calculating the slope of each line

Where do the solutions to the system of inequalities lie?

• In the unshaded region

• On the x-axis

• In the intersection of the shaded regions

• Outside both parabolas