Unit 5 Quizizz Lesson #1

Unit 5: Quadratic Functions Quizizz Lesson #1

• A review of graphing from all three forms of quadratic functions.

• After completing this lesson, complete the "Unit 5 Quadratic Functions Worksheet #1" Edulastic assignment posted under the Week #11 topic in Google Classroom.

Domain & Range:

Multiple Choice

Which of the following is a quadratic function?

Multiple Choice

What is the name of this form of a quadratic equation:

y = ax² + bx + c

• vertex form

• standard form

• factored form

• zero form

Multiple Choice

What do we call the graph of a quadratic function?

• parabola
• linear
• cubic
• sinusoidal

Multiple Choice

What is the maximum/minimum of a parabola called?

• vertex
• point
• top
• bottom

Multiple Choice

What is the y-intercept ?

y = x² - 6x + 5

• (0, 8)

• (0, - 6)

• (5, 0)

• (0, 5)

Multiple Choice

Find the y-intercept of

f(x) = 2x² - 2x + 1

• (1,0)

• (-2,0)

• (0,1)

• (0, -1)

Multiple Choice

What is the y-intercept of this parabola?

• (−1, 3)

• (5, 0)

• (−2, 5)

• (0, 5)

Multiple Choice

What is the vertex of this parabola?

• (−1, 3)
• (−3, 11)
• (−2, 5)
• (0, 5)

Multiple Choice

What are the domain and range of the graph?

• Domain: all real numbers

  Range: $$y\ge5$$  

• Domain: all real numbers

  Range: $$y\le5$$  

• Domain: $$1\le x\le6$$  

  Range: $$y\ge-5$$  

• Domain: $$1\le x\le6$$  

  Range: $$y\le5$$  

Multiple Choice

A quadratic function is graphed on the grid.

Which answer choice best represents the domain and range of the function?

• Domain: $$x\ge-3$$  

  Range: $$y\ge5$$  

• Domain: All real numbers

  Range: $$y\ge5$$  

• Domain: $$x\ge-3$$  Range: All real numbers

• Domain: $$y\ge5$$  

  Range: $$x\ge-3$$  

Multiple Choice

The axis of symmetry line passes through which point?

• y-intercept

• any random point

• vertex

• symmetrical point for the vertex

Multiple Choice

What is the equation for axis of symmetry?

• y = 3

• x = 3

• x = 5

• x = 1

Multiple Choice

Does this parabola have a minimum or maximum and what is its value?

• minimum: 2

• maximum: 2

• minimum: 5

• maximum: 5

Multiple Choice

What are the x-intercept(s) of this graph?

• -1 and -3

• -1 and 3

• 1 and 3

• 1 and -3

Multiple Choice

Identify a: f ( x ) = 3x² + 4x - 5

• 3

• 4

• 5

• -5

Multiple Choice

Identify b: f ( x ) = 3x² + 4x - 5

• 3

• 4

• 5

• -5

Multiple Choice

Identify c: f ( x ) = 3x² + 4x - 5

• 3

• 4

• 5

• -5

Multiple Choice

Which is the vertex of y = x²+ 16x + 71 ?

• V(-8, 7)

• V(-8, 3)

• V(8, 10)

• V(16, -2)

Multiple Choice

Find the y-intercept of f(x) = 2x² - 2x + 1

• (1,0)

• (-2,0)

• (0,1)

• (0, -1)

Multiple Choice

Does the equation open up or down? 
Y = -3x² +7x - 2

• up
• down
• Neither; it opens to the right.
• Neither; it opens to the left.

Multiple Choice

What is the maximum/minimum of a parabola called?

• vertex
• point
• top
• bottom

Multiple Choice

Where is the axis of symmetry for this parabola?

• x = −1
• x = 0
• y = 3
• x = −3

Multiple Choice

What is the formula above primarily used for?

• Finding the axis of symmetry from standard form
• Finding the vertex from standard form
• Finding the vertex from vertex form
• Finding the vertex from standard form

Multiple Choice

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

• y = -2
• x = 3
• x = -3
• y = 2

​Vertex: (h, k)
switch the sign of h when getting the vertex from the function

Axis of Symmetry: x = h
switch the sign of h when getting the AoS from the function

x-intercept(s): use Desmos to find where the parabola crosses the x-axis

y-intercept: use Desmos to find where the parabola crosses the y-axis

Multiple Choice

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)

Multiple Choice

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

• y = 2(x+3)² + 4
• y = (x+3)² - 4
• y = (x-3)² + 4
• y = 2(x - 3)² + 4

Multiple Choice

What is the green dashed line called?

• roots or x-intercepts

• parabola

• Axis of symmetry / Line of symmetry

• line of dashes

Multiple Choice

What is the axis of symmetry for the equation: y = ½(x - 4)² - 4?

• y = 4

• y = - 4

• x = 4

• x = - 4

Multiple Choice

Which equation correctly represents the graph shown?

• $$y=\left(x-4\right)^2-6$$  

• $$y=\left(x+4\right)^2-6$$  

• $$y=\left(x-6\right)^2-4$$  

• $$y=\left(x+6\right)^2-4$$  

Multiple Choice

Which equation correctly represents the graph shown?

• $$y=-\left(x-5\right)^2-1$$  

• $$y=\left(x-5\right)^2-1$$  

• $$y=-\left(x+1\right)^2+5$$  

• $$y=\left(x+1\right)^2+5$$  

Multiple Choice

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)

Multiple Choice

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

• y = -2
• x = 3
• x = -3
• y = 2

Multiple Choice

What is the equation for axis of symmetry?

• y=3
• x=3
• x=5
• x=1

Multiple Choice

What is the domain of the function y = x² + 3?

• All Real Numbers
• x>3
• x<3
• It is impossible to determine.

Multiple Choice

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

• y = -2
• x = 3
• x = -3
• y = 2

Multiple Choice

Given the equation for this parabola:
$$y=-(x-4)^2-3$$  
would this parabola open UP or open DOWN?

• Open up

• Open down

• Not enough information

Multiple Choice

The graph of a quadratic function is called a

• Parabola
• Vertex
• Axis of Symmetry 
• Vertex Form

Multiple Choice

What is the range of this function?

• All real numbers

• $$y=-2$$

• $$y\ \ge-2$$

• $$y\ \le-2$$

• $$y=0$$

Multiple Choice

Does this graph in the back have maximum or minimum value?

• maximum
• minimum
• neither
• both

Multiple Choice

What is the vertex of the quadratic y = (x - 5)² ?

• (5, 0)

• (0, 5)

• (5, 1)

• (-5, 0)

Multiple Choice

Which of the following equations matches vertex form of a quadratic?

• ax + by = c
• y = a(x - h)² + k
• y = ax² + bx + c
• y = mx + b

Multiple Choice

The axis of symmetry line passes through which point?

• y-intercept
• any random point
• vertex
• symmetrical point for the vertex

Multiple Select

What are the x-intercepts for g(x) = (x + 8)(x + 2)

• 8 and 2

• (8, 2)

• -8 and - 2

• (-8, -2)

Multiple Choice

What are the x-intercepts?

• 0 and 8

• -2 and -4

• 3 and -1

• 2 and 4

Multiple Choice

Determine the domain and range of the function

• Domain: All real numbers

  Range: All real numbers

• Domain: all real numbers greater than or equal to -4

  Range: All real numbers

• Domain: All real numbers

  Range: All real numbers greater than or equal to -4.

• Domain: all real numbers between -1 and 5.

  Range: All real numbers greater than or equal to -4.

Multiple Choice

Determine the domain and range of the function.

• Domain: all real numbers.

  Range: all real numbers less than or equal to 1.

• Domain: all real numbers.

  Range: all real numbers less than or equal to 2.

• Domain: all real numbers less than or equal to 1.

  Range: all real numbers.

• Domain: all numbers between 1 and 3.

  Range: all real numbers less than or equal to 1.

Multiple Choice

What is the axis of symmetry?

• x = - 4
• x = - 2
• x = 0
• x = 4

Multiple Choice

Which equation matches the x-intercepts x=5,-7 ?

• (x+5)(x-7)=0

• (x-5)(x+7)=0

• (x+5)(x+7)=0

• (x-5)(x-7)=0

Multiple Choice

In factored form you can see the ______ of the graph easily.

• y-intercept

• vertex

• x-intercepts

Multiple Choice

What are the
x-intercepts of the function
f(x)= (x - 2)(x + 3)?

• x = - 2 or x = 3
• x = 2 or x = -3
• The are no real roots
• x = 2 or x = 3

Multiple Select

What are the zeros of the function? Choose all that apply.

• x = 0

• x = -3

• x = -6

• y = 18

Multiple Select

What are the x-intercepts for g(x) = (x + 8)(x + 2)

• 8 and 2

• (8, 2)

• -8 and - 2

• (-8, -2)

Multiple Choice

y = 5(x+2)(x-1)

• Standard
• Vertex
• Factored
• None of These

Multiple Choice

Is the vertex of y = 3(x + 2)(x – 5) a maximum or a minimum?

• maximum

• minimum

Multiple Choice

What are the green dots called?

• axis of symmetry
• vertex
• parabola
• roots or x-intercepts

Multiple Choice

Identify the form of the quadratic function:
f(x)=3(x+2)(x-1)

• Quadratic
• Standard
• Factored
• Vertex

Multiple Choice

Identify the form of the quadratic function:

f(x) = (x - 8)(x + 8)

• Vertex

• Standard

• Factored

Multiple Choice

What information can I find from this form of the equation?

f(x ) = (x - 9)(x - 10)

• x-intercepts: (9, 0)(10,0)

• y-intercept: (0, 19)

• vertex: (9, 10)