What is the vertex of the quadratic function based on the graph provided?
Understanding Quadratic Functions
Interactive Video
•
Emma Peterson
•
Mathematics
•
9th - 12th Grade
•
Hard
The video tutorial explains how to derive the equation of a quadratic function from its graph in three forms: vertex, general, and factored. It begins with analyzing the graph to identify key points such as the vertex and intercepts. The tutorial then details the process of writing the equation in vertex form, using the vertex and another point to find the value of 'a'. It proceeds to convert this equation into general form by expanding and simplifying. Finally, the video demonstrates how to factor the general form to obtain the factored form, highlighting the benefits of each form in understanding the graph's properties.
Read more
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
(4, -3)
(-3, 4)
(-4, 3)
(3, -4)
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the vertex form of a quadratic function, what does the sign of 'a' indicate?
The x-coordinate of the vertex
The y-intercept of the graph
The width of the parabola
The direction the parabola opens
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you determine the value of 'a' in the vertex form of a quadratic equation?
By using the vertex coordinates
By using any point on the parabola except the vertex
By using the x-intercepts
By using the y-intercept
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the general form of a quadratic equation derived from the vertex form?
f(x) = -x^2 - 6x - 5
f(x) = x^2 + 6x + 5
f(x) = -x^2 + 6x + 5
f(x) = x^2 - 6x - 5
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the coefficients a, b, and c in the general form of the quadratic equation?
a = 1, b = -6, c = -5
a = -1, b = 6, c = 5
a = 1, b = 6, c = 5
a = -1, b = -6, c = -5
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the benefit of expressing a quadratic function in factored form?
It identifies the vertex
It simplifies the equation
It reveals the x-intercepts
It shows the y-intercept
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you factor the quadratic equation from its general form?
By finding two numbers that multiply to 'c' and add to 'b'
By using the quadratic formula
By completing the square
By using the vertex coordinates
Explore all questions with a free account
Microsoft
Apple
Others
Similar Resources on Quizizz
11 questions
Identifying the Vertex of Quadratic Functions
Interactive video
•
8th - 12th Grade
11 questions
Exploring Characteristics of Quadratic Functions
Interactive video
•
8th - 12th Grade
11 questions
Solving Quadratic Equations by Factoring
Interactive video
•
9th - 12th Grade
11 questions
Understanding Quadratic Functions
Interactive video
•
9th - 12th Grade
11 questions
Exploring Quadratic Function Forms
Interactive video
•
9th - 12th Grade
11 questions
Exploring Key Features of Quadratic Functions
Interactive video
•
8th - 12th Grade
11 questions
Quadratic Equations: Standard and Vertex Forms
Interactive video
•
8th - 12th Grade
11 questions
Exploring the Vertex Form of Quadratic Functions
Interactive video
•
9th - 12th Grade
Popular Resources on Quizizz
39 questions
Respect and How to Show It
Quiz
•
6th Grade
20 questions
math review
Quiz
•
4th Grade
20 questions
Math Review - Grade 6
Quiz
•
6th Grade
20 questions
Reading Comprehension
Quiz
•
5th Grade
20 questions
Types of Credit
Quiz
•
9th - 12th Grade
20 questions
Taxes
Quiz
•
9th - 12th Grade
10 questions
Human Body Systems and Functions
Interactive video
•
6th - 8th Grade
20 questions
Multiplication Facts
Quiz
•
3rd Grade
Discover more resources for Mathematics
20 questions
EOC Math 1 Review
Quiz
•
9th Grade
15 questions
Central Tendency
Quiz
•
9th - 12th Grade
14 questions
Algebra 1 SOL Review #1
Quiz
•
9th Grade
15 questions
Algebra 1 SOL Review #2
Quiz
•
9th Grade
25 questions
Active EOC Math 1 Review
Quiz
•
9th Grade
20 questions
TSI Post Test
Quiz
•
9th - 12th Grade
20 questions
Probability TSI
Quiz
•
9th - 12th Grade
16 questions
MATH 1 EOC REVIEW
Quiz
•
9th - 10th Grade