
Quadratic Functions and Their Roots

Interactive Video
•
Mathematics
•
8th - 10th Grade
•
Hard
+3
Standards-aligned

Lucas Foster
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the roots or zeros of a quadratic function?
The maximum and minimum points of the function
The y-values where the function equals zero
The x-values where the function equals zero
The points where the function is undefined
Tags
CCSS.HSA-SSE.B.3B
CCSS.HSF-IF.C.8A
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If a quadratic function has roots R1 and R2, what is a possible form of the function?
f(x) = a(x - R1)(x + R2)
f(x) = a(x + R1)(x - R2)
f(x) = a(x - R1)(x - R2)
f(x) = a(x + R1)(x + R2)
Tags
CCSS.HSA.APR.B.3
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
For the roots -3 and 4, what are the factors of the quadratic function?
(x - 3) and (x + 4)
(x + 3) and (x - 4)
(x - 3) and (x - 4)
(x + 3) and (x + 4)
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the simplified form of the quadratic function with roots -3 and 4?
f(x) = x^2 + x + 12
f(x) = x^2 - x + 12
f(x) = x^2 - x - 12
f(x) = x^2 + x - 12
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does introducing a constant factor in front of the quadratic equation affect it?
It changes the x-intercepts of the graph
It scales the entire function vertically
It changes the roots of the equation
It shifts the graph horizontally
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If a constant of 3 is introduced, what is the new quadratic function with roots -3 and 4?
f(x) = 3x^2 - 3x - 36
f(x) = 3x^2 + 3x - 36
f(x) = 3x^2 - 3x + 36
f(x) = 3x^2 + 3x + 36
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why can't a constant be placed directly in front of the x^2 term?
It would change the degree of the polynomial
It would not affect the function
It must be placed in front of the binomial factors
It would make the function non-quadratic
Tags
CCSS.HSF-IF.C.7A
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