The axis of symmetry line passes through which point?

symmetrical point for the vertex

Writing Quadratics Given Vertex and a Point

Quiz

•

Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Medium

•

CCSS

HSF-IF.C.7A, HSA.CED.A.2, HSF.IF.B.4

+14

Standards-aligned

Stephanie Eader

Used 466+ times

FREE Resource

About this resource

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.

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.1

CCSS.HSA.CED.A.2

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).

y = 6(x + 5)² + 9

y = -6(x - 5)² + 9

y = 6(x - 5)² + 9

y = -6(x + 5)² + 9

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the green dashed line called?

roots or x-intercepts

parabola

axis of symmetry

line of dashes

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)?

f(x) = 1/4(x - 4)² - 1

f(x) = 4(x - 4)² - 1

f(x) = 4(x + 4)² - 1

f(x) = 1/4(x + 4)² - 1

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Is this a max or min?

max

min

cannot be determined

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?

maximum

minumum

roots

zeros

Tags

CCSS.HSF-IF.C.7A

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Writing Quadratics Given Vertex and a Point

20 questions

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)?

Which function is best represented by this graph?

Write the equation of the quadratic function that has a vertex of (-5, 9) and passes through the point (-7, -15).

What is the green dashed line called?

Which quadratic function in vertex form best represents the graph that has a vertex at (4,-1) and passes through the point (8, 3)?

Is this a max or min?

What is the green dot on the parabola called?

What is the equation in vertex form?

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

The axis of symmetry line passes through which point?

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Writing Quadratics Given Vertex and a Point

20 questions

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)?

Which function is best represented by this graph?

Write the equation of the quadratic function that has a vertex of (-5, 9) and passes through the point (-7, -15).

What is the green dashed line called?

Which quadratic function in vertex form best represents the graph that has a vertex at (4,-1) and passes through the point (8, 3)?

Is this a max or min?

What is the green dot on the parabola called?

What is the equation in vertex form?

If given the equation y = 3(x + 5)2 - 4, what is the vertex of the parabola?

The axis of symmetry line passes through which point?

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?