Find the vertex and x intercepts of a quadratic

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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 completing the square for a quadratic equation?
Solve for the x-intercepts
Ensure the quadratic is in standard form
Find the vertex of the parabola
Determine the maximum or minimum value
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it important to factor out the coefficient of the squared term in a quadratic equation?
To determine the axis of symmetry
To simplify the equation
To find the x-intercepts
To create a perfect square trinomial
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a perfect square trinomial?
A trinomial with a constant term of zero
A trinomial that cannot be factored
A trinomial with three different terms
A trinomial that can be factored into two identical binomials
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you maintain the balance of an equation when completing the square?
By adding and subtracting the same value on one side
By adding the same value to both sides
By multiplying both sides by the same value
By subtracting the same value from both sides
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the vertex of the quadratic equation after completing the square in this example?
(1/2, 20)
(1, 20)
(0, 20)
(1/2, 0)
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why does the quadratic equation in this example have no real roots?
The square root of a negative number is involved
The equation is not in standard form
The vertex is above the x-axis
The coefficient of x is zero
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does it mean when a graph does not cross the x-axis?
The graph has a minimum point
The graph is a straight line
The graph has a maximum point
The graph has no real roots
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