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General functions practice

Graphing quadratic inequalities worksheets

Graph four expanded quadratic inequalities on blank coordinate grids. Compare unit and nonunit leading coefficients, both opening directions and all four strict or inclusive relations.

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Graph the quadratic boundary. Use a dashed curve for < or > and a solid curve for <= or >=. Test a point, then shade the side that satisfies the inequality.

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Draw the boundary. Test the region.

Each worksheet has four expanded quadratic inequalities on unit grids from −10 to 10. Every sheet includes <, ≤, > and ≥ once, with the selected leading-coefficient magnitudes and opening directions.

Strict inequalities use a dashed parabola. Inclusive inequalities use a solid parabola. Test a point away from the boundary before shading the satisfying side.

Learning objective

What this activity builds

Draw a solid or dashed parabolic boundary and shade exactly the points that satisfy a quadratic inequality.

Worked example

Graph y >= 2x² − 4x + 4.

The boundary is the solid parabola with vertex (1, 2). Shade above the curve.

Equality is included, so the boundary is solid. The point (1, 3) satisfies 3 >= 2, while (1, 1) does not.

Teaching notes

Make the practice count

  • Rewrite or inspect the expanded quadratic to locate its vertex.
  • Draw a dashed boundary for strict relations.
  • Draw a solid boundary when equality is included.
  • Test a point clearly away from the parabola.
  • Shade every visible point on the satisfying side.

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Customize the practice

Choose your options, update the preview, then download the exact same pages.

Choose the leading coefficients and opening directions, then change the seed for four new inequalities with the same balanced relation schedule.

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The same settings and seed make the same questions. Shared links include your page note; leave personal information out. Notes use the selected language’s supported characters; English accepts basic Latin text.

Configured PDF · Graphing Quadratic Inequalities · US Letter

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Math SheetNameScore/ 4TeacherDateGraphing Quadratic InequalitiesGraph each quadratic inequality. Draw the boundary, then shade the solution region.1.y-x2+2·x+3-10-10-5-50551010xy2.y3·x2+24·x+46-10-10-5-50551010xy3.yx2-8·x+16-10-10-5-50551010xy4.y-2·x2+8·x-5-10-10-5-50551010xymath-sheet.comPage 1 / 1

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