Graphing Quadratic Functions in Standard Form Worksheet

Eight quadratic-function problems, half graphed and half given as standard-form equations, ask students to find domain, range, intercepts, vertex, and end behaviour, with a fully worked answer key.
Year levels
Years 9–12
File type
PDF
Preparation
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Updated Sep 27, 2026

Subject
Graphing, Algebra, Maths
Topic
Quadratic Functions, Standard Form
Resource types
Worksheets
Preparation
Print ready

From the author

About this resource

Quadratic Functions - Standard Form - Worksheet provides 9th-Year 12 algebra students guided practice identifying key characteristics of quadratic functions written in standard form. Students analyse 8 quadratic graphs to determine the axis of symmetry, vertex, domain, range, max/min value, x- and y-intercepts, and end behaviour. This 2-page printable allows educators to assess student understanding of quadratic functions. It can be used for individual practice, partner work, small group instruction, or whole class review. The worksheet builds familiarity with the standard form of quadratic equations to prepare students for further study of more complex quadratic concepts. The self-checking format allows timely feedback to correct misconceptions before moving forward.

In the classroom

Teaching tips & learning objectives

Learning objectives

  • Determine the domain and range of a quadratic function from its graph or equation.

  • Identify the x- and y-intercepts and vertex of a quadratic function.

  • Describe a quadratic function's end behaviour using limit-style notation.

  • Determine the increasing and decreasing intervals of a parabola.

Teaching tips

  • Assign the four graphed problems first as a warm-up before the four equation-based problems, since reading a graph is a more concrete entry point than algebraic analysis.

  • Use the worked answer key to model interval notation for domain, range, and increasing/decreasing intervals before students attempt the equation-based problems independently.

  • Note the 'Version 2: Standard Form' label if seeking companion versions in other forms (vertex, factored) from the same creator.

Skills covered

  • Quadratic graph analysis — students read domain, range, intercepts, and vertex directly from four graphed parabolas.

  • Standard-form equation analysis — students algebraically determine intercepts, vertex, and end behaviour from four quadratic equations given in standard form.

  • Interval notation — students express domain, range, and increasing/decreasing intervals using interval notation.

  • End behaviour description — students describe a function's behaviour as x approaches positive and negative infinity.

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