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Conic sections practice

Graphing parabolas worksheets

Graph unit-coefficient vertical parabolas in vertex form on equal-scale coordinate grids with exact vertices.

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Graph each parabola on the equal-scale coordinate grid.

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Graph a vertical parabola from its vertex

Each worksheet contains four unit-coefficient equations and four equal-scale coordinate grids from −10 to 10.

Plot the vertex, use the sign for the opening direction and add symmetric points.

The separate key shows the full visible curve and exact vertex.

Learning objective

What this activity builds

Connect vertical vertex form with a complete clipped parabola and its turning point.

Worked example

Graph y = −(x − 2)² + 3.

Vertex (2, 3), opening downward.

Plot the vertex, then use the unit-coefficient pattern one down and one across from the turning point.

Teaching notes

Make the practice count

  • Read vertex signs opposite the signs inside parentheses.
  • Use the sign of a for the opening direction.
  • Plot symmetric points on both sides of the axis.
  • Keep the same horizontal and vertical scale.

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

Change the seed for four reproducible unit-coefficient vertical parabola graphs.

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Math SheetNameScore/ 4TeacherDateGraphing ParabolasGraph each parabola on the equal-scale coordinate grid.1.y=x2-10-10-8-8-6-6-4-4-2-2224466881010xy2.y=-1·x-12-10-10-8-8-6-6-4-4-2-2224466881010xy3.y=x2+2-10-10-8-8-6-6-4-4-2-2224466881010xy4.y=-1·x+42+2-10-10-8-8-6-6-4-4-2-2224466881010xymath-sheet.comPage 1 / 1

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