Free Printable WorksheetMathGeometryMath CurriculumG-GPE.A.3 (+)

GEO.152 Find key features of a parabola from an equation or graph Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.152 Find key features of a parabola from an equation or graph. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.152 Find key features of a parabola from an equation or graph - Primary standard selected for prompt fields in this prompt cell: CCSS G-GPE.A.3 (+). Skill statement in this prompt cell: Select the correct vertex, axis of symmetry, focus, or directrix for a parabola given its equation or graph. Associated standards listed with this skill in the curriculum source: CCSS G-GPE.A.3 (+); MA G-GPE.A.3 (+); NY HS Plus. Use this prompt-provided wording as the supporting standard description for this workflow.

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Geometry

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related GEO.152 Find key features of a parabola from an equation or graph skill assessments:

Problem 1Difficulty: Mastery
A coordinate graph shows a downward-opening parabola with vertex (-4, 0), focus (-4, -1/2), and directrix y = 1/2. Which line is the axis of symmetry?
Ax = -4
By = 0
Cy = -1/2
Dy = 1/2
Solution & Explanation:The axis of symmetry goes through the vertex and focus. Since both have x-coordinate -4, the axis is x = -4.
Problem 2Difficulty: Mastery
For the parabola y = 1/4(x - 7)2 - 6, which key feature is 1 unit above the vertex?
AThe focus
BThe directrix
CThe axis of symmetry
DThe vertex
Solution & Explanation:Here p = 1/(4 * 1/4) = 1. A positive p places the focus 1 unit above the vertex, while the directrix is 1 unit below it.
Problem 3Difficulty: Mastery
A vertical parabola has focus (5, -1) and vertex (5, 2). Which line is the directrix?
Ay = 5
By = -1
Cx = 2
Dx = 8
Solution & Explanation:The focus is 3 units below the vertex, so p = -3. The directrix is 3 units above the vertex, which is y = 5.

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

QHow do I download and print this GEO.152 Find key features of a parabola from an equation or graph worksheet?

Click either the "Download PDF" or "Download DOCX" button at the top of the page. You can print the PDF directly from your browser or edit the DOCX file in Microsoft Word or Google Docs to tailor the questions to your students.

QIs this GEO.152 Find key features of a parabola from an equation or graph worksheet free for teachers and homeschoolers?

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QCan students practice GEO.152 Find key features of a parabola from an equation or graph online with instant feedback?

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Geometry Math students. It aligns with educational standard G-GPE.A.3 (+) (Primary standard selected for prompt fields in this prompt cell: CCSS G-GPE.A.3 (+). Skill statement in this prompt cell: Select the correct vertex, axis of symmetry, focus, or directrix for a parabola given its equation or graph. Associated standards listed with this skill in the curriculum source: CCSS G-GPE.A.3 (+); MA G-GPE.A.3 (+); NY HS Plus. Use this prompt-provided wording as the supporting standard description for this workflow.).

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