What is the purpose of using the vertex form of a quadratic function?

Understanding Quadratic Functions and Their Applications

Interactive Video
•

Aiden Montgomery
•
Mathematics, Business
•
9th - 12th Grade
•
Hard
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
To find the slope of the function
To identify the vertex and determine if it's a maximum or minimum
To determine the y-intercept
To calculate the area under the curve
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When the coefficient 'a' in a quadratic function is negative, what does the vertex represent?
A zero of the function
A maximum point
A minimum point
A point of inflection
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in completing the square for a quadratic function?
Add a constant to both sides
Factor out the leading coefficient
Multiply the entire equation by 2
Divide the entire equation by the leading coefficient
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you confirm that a production level yields maximum revenue?
By checking if the revenue is higher than the previous week
By ensuring the production cost is minimized
By comparing revenues at production levels just below and above the vertex
By calculating the derivative of the revenue function
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the vertex of the revenue function in the example provided?
(500, 500,000)
(100, 2200)
(0, 0)
(250, 250,000)
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the context of minimizing costs, what does a positive 'a' value indicate?
The function has no vertex
The function is linear
The vertex is a minimum
The vertex is a maximum
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the minimum cost of production in the widget example?
$20,000
$2,200
$500,000
$10,000
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