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Graphing Inequalities and Parabolas

Graphing Inequalities and Parabolas

Assessment

Interactive Video

•

Mathematics

•

9th - 10th Grade

•

Hard

Created by

Thomas White

FREE Resource

This video tutorial covers solving systems of inequalities by graphing, focusing on quadratic inequalities. It reviews graphing techniques, explains how to determine vertices, plot points, and decide on solid or broken lines. The video demonstrates shading regions to find solutions and concludes with identifying the intersection of shaded areas as the solution to the system.

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12 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main topic of this video?

Calculating derivatives

Graphing systems of inequalities

Solving linear equations

Finding integrals

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What type of graph is used for inequalities with 'greater than or equal to'?

Dashed line

Solid line

Dotted line

No line

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What type of graph is used for inequalities with 'less than'?

Dotted line

Solid line

Dashed line

No line

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving the first example of quadratic inequalities?

Determining the vertex

Finding the axis of symmetry

Identifying the y-intercept

Calculating the slope

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you determine the vertex of a parabola in this context?

Switch and keep method

Add and subtract method

Multiply and divide method

None of the above

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What equation is used to find additional points for the first parabola?

y = -x^2

y = -2x

y = x^2

y = 2x

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of the negative sign in the equation y = -x^2?

It indicates the parabola is horizontal

It has no significance

It indicates the parabola opens downwards

It indicates the parabola opens upwards

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