
Understanding Vertex Form and Completing the Square

Interactive Video
•
Mathematics
•
8th - 10th Grade
•
Hard
Standards-aligned

Mia Campbell
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary goal of converting a quadratic equation into vertex form?
To simplify the equation for easier graphing
To identify the roots of the equation
To determine the axis of symmetry
To find the slope of the tangent
Tags
CCSS.HSA-REI.B.4B
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it beneficial to factor out a negative coefficient from the quadratic equation?
It eliminates the constant term
It changes the direction of the parabola
It simplifies the process of completing the square
It makes the equation more complex
Tags
CCSS.HSA-REI.B.4B
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of adding and subtracting the same number when completing the square?
To eliminate the x term
To find the y-intercept
To maintain the equation's balance
To change the equation's value
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you determine the x-coordinate of the vertex from the vertex form?
By differentiating the equation
By setting the y value to zero
By finding the midpoint of the roots
By setting the squared term to zero
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the vertex of the quadratic equation y = -3(x - 4)^2 + 21?
(0, 21)
(21, 4)
(4, 21)
(4, 0)
Tags
CCSS.HSF-IF.C.7A
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the negative coefficient in the vertex form indicate about the parabola?
It opens downwards
It is a linear equation
It has no vertex
It opens upwards
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the context of vertex form, what does the term 'maximum value' refer to?
The slope of the tangent at the vertex
The x-intercept of the parabola
The y-intercept of the parabola
The highest point on the parabola
Tags
CCSS.HSF-IF.C.7A
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