Writing Quadratics Given Vertex and a Point
Authored by Stephanie Eader
Mathematics
9th - 10th Grade
CCSS covered
Used 468+ times
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Looking at this comprehensive quiz, I can see it focuses on quadratic functions in vertex form, specifically targeting the skill of writing quadratic equations when given a vertex and an additional point. This material is appropriate for Algebra 1 students, typically found in grades 9-10. The questions systematically build understanding from basic vocabulary (vertex, parabola, axis of symmetry) to more complex applications requiring students to substitute coordinates into the vertex form equation y = a(x - h)² + k and solve for the parameter 'a'. Students need solid foundations in coordinate geometry, algebraic manipulation, and function notation. They must understand how the vertex form directly reveals key features like the vertex coordinates (h, k), the direction of opening based on the sign of 'a', and domain/range concepts. The mathematical reasoning required includes substitution skills, solving linear equations, and making connections between algebraic representations and graphical features. Created by Stephanie Eader, a Mathematics teacher in the US who teaches grades 9-10. This quiz serves multiple instructional purposes throughout a unit on quadratic functions, providing excellent scaffolding from foundational vocabulary to complex problem-solving applications. Teachers can use individual sections as warm-up activities to activate prior knowledge about parabola terminology, or deploy the entire assessment for comprehensive review before unit exams. The mix of computational problems and conceptual understanding questions makes it ideal for formative assessment, helping teachers identify which students grasp the vertex form structure versus those who need additional support with algebraic manipulation. The quiz aligns with Common Core standards A-SSE.3 (choosing and producing equivalent forms of expressions) and F-IF.8 (writing functions in different but equivalent forms), as students work with vertex form to reveal and interpret key features of quadratic graphs.
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20 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Which quadratic function in vertex form can be represented by the graph that has a vertex at (3,-7) and passes through the point (1,-10)?
Tags
CCSS.HSA.CED.A.2
CCSS.HSA.CED.A.1
CCSS.HSF.BF.A.1
CCSS.HSF.LE.A.2
2.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Which function is best represented by this graph?
Tags
CCSS.HSF-IF.C.7A
3.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Write the equation of the quadratic function that has a vertex of (-5, 9) and passes through the point (-7, -15).
Tags
CCSS.HSA.CED.A.2
CCSS.HSA.CED.A.1
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the green dashed line called?
Tags
CCSS.HSF-IF.C.7A
5.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Which quadratic function in vertex form best represents the graph that has a vertex at (4,-1) and passes through the point (8, 3)?
Tags
CCSS.HSF.IF.B.4
CCSS.HSF.IF.C.7
CCSS.HSF.BF.A.1
6.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Is this a max or min?
Tags
CCSS.8.F.A.1
CCSS.8.F.B.4
CCSS.8.F.B.5
7.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the green dot on the parabola called?
Tags
CCSS.HSF-IF.C.7A
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