What causes the graph of y = x 2 to open downward?

multiply the x 2 by a negative number

multiply the x 2 by a number greater than 1

Vertex Form

Quiz

•

Mathematics

•

8th - 12th Grade

•

Practice Problem

•

Medium

•

CCSS

HSF-IF.C.7A, HSF.IF.B.4, 8.G.A.3

+6

Standards-aligned

Used 3K+ times

FREE Resource

About this resource

This quiz focuses on quadratic functions in vertex form, specifically targeting students' understanding of parabola characteristics and transformations. Based on the complexity of interpreting vertex form equations y = a(x - h)² + k and analyzing parabola properties, this material is most appropriate for Algebra 1 students, typically in grades 9-10. The core concepts students need include identifying the vertex (h, k) from vertex form equations, determining the axis of symmetry as the vertical line x = h, understanding how the coefficient 'a' affects the direction and width of the parabola opening, and distinguishing between maximum and minimum values based on whether the parabola opens upward or downward. Students must also demonstrate their ability to translate between algebraic representations and graphical features, requiring solid foundational skills in coordinate geometry and algebraic manipulation. This quiz was created by a classroom teacher who designed it for students studying quadratic functions and parabola characteristics in grades 9-10. The assessment serves as an excellent formative evaluation tool to gauge student comprehension before moving to more complex quadratic topics like factoring or solving quadratic equations. Teachers can effectively use this quiz as a warm-up activity to activate prior knowledge, as guided practice during instruction on vertex form, or as homework to reinforce classroom learning. The structured multiple-choice format makes it particularly valuable for quick comprehension checks and identifying common misconceptions about vertex identification and parabola orientation. This quiz directly supports Common Core standards A.SSE.3b (completing the square to reveal vertex form properties) and F.IF.7a (graphing quadratic functions and identifying key features), while also addressing A.CED.2 (creating equations to describe parabola characteristics) through its emphasis on connecting algebraic and graphical representations.

13 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

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

(5, -4)

(-5, -4)

(-15, -4)

(15, -4)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

2.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Given the equation for this parabola:
y=-(x-4)²-3,
does this parabola have a maximum or minimum value?

Maximum

Minimum

Tags

CCSS.HSF-IF.C.7A

3.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

The axis of symmetry line passes through which point?

y-intercept

any random point

vertex

symmetrical point for the vertex

Tags

CCSS.HSG.GPE.A.2

4.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

What is the equation of this graph?

f(x) = (x -5)² + 1

f(x) = (x - 1)² - 5

f(x) = (x + 1)² - 5

f(x) = (x + 5)² +1

Tags

CCSS.HSF-IF.C.7A

5.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

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

(5, -4)

(-5, -4)

(-15, -4)

(15, -4)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

6.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Identify the vertex and whether the graph opens up or down.

(5, 2); opens up

(5, 2); opens down

(-5, 2); opens up

(-5, 2); opens down

Tags

CCSS.HSF-IF.C.7A

7.

MULTIPLE CHOICE QUESTION

45 sec • 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

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Vertex Form

13 questions

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

Given the equation for this parabola:
y=-(x-4)²-3,
does this parabola have a maximum or minimum value?

The axis of symmetry line passes through which point?

What is the equation of this graph?

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

Identify the vertex and whether the graph opens up or down.

What is the green dashed line called?

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

Which equation has a vertex of (-3, 4)?

What is the axis of symmetry of the given function?

Access all questions and much more by creating a free account

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Vertex Form

13 questions

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

Given the equation for this parabola: y=-(x-4)2-3, does this parabola have a maximum or minimum value?

The axis of symmetry line passes through which point?

What is the equation of this graph?

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

Identify the vertex and whether the graph opens up or down.

What is the green dashed line called?

A parabola has a vertex at (-3,2). Where is the axis of symmetry?

Which equation has a vertex of (-3, 4)?

What is the axis of symmetry of the given function?

Access all questions and much more by creating a free account

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?

Given the equation for this parabola:
y=-(x-4)²-3,
does this parabola have a maximum or minimum value?

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

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?