
Quadratic Functions and Completing the Square
Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
Olivia Brooks
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What skill is essential to derive the quadratic formula?
Factoring
Graphing
Completing the square
Substitution
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the roots of a quadratic equation?
The y-intercept of the graph
The sum of the coefficients
The points where the graph intersects the x-axis
The highest point of the graph
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can you identify the factors of a quadratic equation?
By calculating the derivative of the quadratic
By expressing the quadratic as a product of two binomials
By identifying the points where the graph intersects the y-axis
By finding the sum of the roots
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the process of completing the square, what is the first step?
Multiply the coefficient of x by 2
Divide the coefficient of x by 2 and square it
Subtract the constant term from both sides
Add the constant term to both sides
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of halving and squaring the coefficient of x in completing the square?
To determine the axis of symmetry
To calculate the discriminant
To convert the quadratic into a perfect square trinomial
To find the vertex of the parabola
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a perfect square in the context of quadratic equations?
A number that is the square of an integer
A quadratic expression that can be written as the square of a binomial
A quadratic equation with no real roots
A quadratic equation with complex roots
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of taking the square root of both sides in a completed square equation?
A pair of linear equations
A cubic equation
A quadratic equation
A linear equation
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