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

GEO.144 Use conic section definitions and equations when included Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.144 Use conic section definitions and equations when included. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.144 Use conic section definitions and equations when included - Primary standard selected for prompt fields in this prompt cell: CCSS G-GPE.A.3 (+). Skill statement in this prompt cell: Select the correct feature (vertex, focus, directrix, or axis of symmetry) of a parabola from 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.144 Use conic section definitions and equations when included skill assessments:

Problem 1Difficulty: Mastery
Which explanation correctly finds the directrix of y = -1/10(x - 4)2 + 6?
Aa = -1/10, so p = -5/2; directrix y = 6 - (-5/2) = 17/2
Ba = -1/10, so p = -10; directrix y = -4
CThe axis is x = 4, so the directrix is x = 4
DThe vertex is (4, -6), so the directrix is y = -6
Solution & Explanation:For y = a(x - h)2 + k, p = 1/(4a). With a = -1/10, p = -5/2. The directrix is y = k - p = 6 - (-5/2) = 17/2.
Problem 2Difficulty: Mastery
A vertical parabola has focus (1, -2) and directrix y = -8. Which equation gives its axis of symmetry?
Ax = 1
By = -5
Cx = -2
Dy = -8
Solution & Explanation:The focus has x-coordinate 1, and the directrix is horizontal, so the axis is the vertical line through the focus and vertex. The axis is x = 1.
Problem 3Difficulty: Mastery
A parabola has vertex (-3, -4), axis of symmetry y = -4, and focus 5 units to the left of the vertex. Which line is its directrix?
Ax = -8
Bx = 2
Cy = -9
Dy = 1
Solution & Explanation:A focus 5 units left of the vertex means p = -5 for a horizontal parabola. The directrix is x = h - p = -3 - (-5) = 2.

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Frequently Asked Questions

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QIs this GEO.144 Use conic section definitions and equations when included worksheet free for teachers and homeschoolers?

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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 feature (vertex, focus, directrix, or axis of symmetry) of a parabola from 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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