Finding the vertex and zeros of a quadratic function

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Mathematics
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11th Grade - University
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Hard
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in setting up a quadratic function to find its vertex?
Find the x-intercepts
Convert it to standard form
Use the quadratic formula
Graph the function
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What mathematical method is used to transform a quadratic function into vertex form?
Graphing
Using the quadratic formula
Completing the square
Factoring
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When completing the square, what must be done to maintain the balance of the equation?
Add a constant to both sides
Subtract the same value added inside the parentheses
Multiply the entire equation by a constant
Divide the equation by the leading coefficient
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the vertex of the quadratic function after completing the square?
(2, -5)
(5, -2)
(-2, 5)
(-5, 2)
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of using the quadratic formula in this context?
To find the vertex
To determine the y-intercept
To find the x-intercepts
To convert to standard form
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is a step in finding the x-intercepts using the quadratic formula?
Setting the quadratic equation equal to zero
Completing the square
Graphing the function
Finding the derivative of the function
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the x-intercepts of the function after applying the quadratic formula?
(-2 + sqrt(5), 0) and (-2 - sqrt(5), 0)
(5 + sqrt(2), 0) and (5 - sqrt(2), 0)
(-5 + sqrt(2), 0) and (-5 - sqrt(2), 0)
(2 + sqrt(5), 0) and (2 - sqrt(5), 0)
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