Graphing Linear-Quadratic Inequalities

What type of system are we graphing in this tutorial?

• A system with a cubic and a quadratic inequality

• A system with two quadratic inequalities

• A system with a linear and a quadratic inequality

• A system with two linear inequalities

What is the first step in graphing the linear inequality Y > X + 2?

• Using the quadratic formula

• Factoring the equation

• Finding the Y-intercept and slope

• Finding the vertex

Why do we use a dashed line when graphing Y > X + 2?

• Because it is a quadratic inequality

• Because it represents an equal sign

• Because it is easier to draw

• Because it represents a boundary that is not included in the solution

What is the axis of symmetry for the quadratic equation y = x^2 - 2x - 3?

• x = -1

• x = 1

• x = 2

• x = 0

How do you find the vertex of the quadratic equation y = x^2 - 2x - 3?

• By factoring the equation

• By finding the axis of symmetry and substituting it into the equation

• By finding the Y-intercept

• By using the quadratic formula

What method is used to find the x-intercepts of the quadratic equation y = x^2 - 2x - 3?

• Using the slope-intercept form

• Completing the square

• Graphing

• Factoring

What are the x-intercepts of the quadratic equation y = x^2 - 2x - 3?

• x = 0 and x = 2

• x = -1 and x = 3

• x = 1 and x = -3

• x = -2 and x = 1

When graphing the quadratic inequality, why is a solid line used?

• Because it is a linear inequality

• Because it represents an equal sign

• Because it is easier to draw

• Because it represents a boundary that is included in the solution

How do you determine the solution regions for the system of inequalities?

• By only graphing the quadratic inequality

• By finding the intersection points of the graphs

• By shading the entire graph

• By only graphing the linear inequality

What should you do to verify the solution regions?

• Do not check the points

• Check the points in both inequalities

• Only check the points with positive coordinates

• Check the points in only one inequality