
Quadratics & Polynomials Test Review
Presentation
•
Mathematics
•
12th Grade
•
Medium
+4
Standards-aligned
Lauren Hall
Used 8+ times
FREE Resource
3 Slides • 41 Questions
1
Quadratic Applications
2
Multiple Choice
Which one are we looking for?
Jaiden wanted to know the initial height of a baseball when it was hit at home plate.
x at vertex
y at vertex
x-intercept
y-intercept
3
Multiple Choice
Which one are we looking for?
Darrell is trying to find out how many seconds it will take a golf ball to get to its highest point after being hit on the golf course.
x at vertex
y at vertex
x-intercept
y-intercept
4
Multiple Choice
Which one are we looking for?
Elliot wants to know how high the soccer ball will get if he kicks it straight up in the air.
x at vertex
y at vertex
x-intercept
y-intercept
5
Multiple Choice
Which one are we looking for?
Isabella wants to know how long her toy rocket will be in the air after she lights the fuse to launch it from a 1.5-foot launch pad.
x at vertex
y at vertex
x-intercept
y-intercept
6
Multiple Choice
The function f(t) = -5t2+20t + 60 models the approximate height of an object t seconds after it is launched. How many seconds does it take the object to hit the ground?
4 seconds
-2 seconds
6 seconds
9 seconds
7
Multiple Choice
What is the Domain?
[0, 4]
[4, 7]
[0, 7]
[0, 6]
8
Multiple Choice
What is the Range?
[0, 4]
[4, 7]
[0, 3]
[0, 6.8]
9
Multiple Choice
What was the initial height of the ball?
6.8 feet
4 feet
0 feet
10
Multiple Choice
How high is the ball at 1 seconds?
6 feet
4 feet
6.8 feet
0 feet
11
Quadratic & Polynomial Key Characteristics and Sketching
Including... Domain, Range, Vertex, Axis of Symmetry, End Behavior, X & Y Intercepts, Factored Form, Max & Min, and Intervals of Increase and Decrease.
12
Multiple Choice
13
Multiple Choice
14
Multiple Choice
What is the equation of the parabola?
y=(x+1)(x+3)
y=(x−1)(x+3)
y=(x+1)(x−3)
y=(x−1)(x−3)
15
Multiple Choice
What is the equation of the parabola?
y=(x−2)(x+4)
y=(x−2)(x−4)
y=(x+2)(x+4)
y=(x+2)(x−4)
16
Multiple Choice
What is the vertex?
(-1,8)
(8,-1)
(0,6)
(-2,6)
17
Multiple Choice
What is the domain and range of the quadratic function?
Domain: (−∞,∞)
Range: [−7,∞)
Domain: (−∞,∞)
Range: (−∞,−7]
Domain: [−7,∞)
Range: (−∞,∞)
Domain: (−∞,−7]
Range: (−∞,∞)
18
Multiple Choice
Which quadratic equation models the parabola shown?
y = (x-2)(x+5)
y = (x+2)(x+5)
y = -(x-2)(x-5)
y = -(x+2)(x+5)
19
Multiple Choice
What is the equation of the parabola?
y=(x−2)(x+4)
y=(x−2)(x−4)
y=(x+2)(x+4)
y=(x+2)(x−4)
20
Drag and Drop
21
Multiple Choice
Which of the following describes the roots of the polynomial function: f(x)=(x−3)4(x+6)2
x = -3 with multiplicity 2 and
x = 6 with multiplicity 4
x = -3 with multiplicity 4 and
x = 6 with multiplicity 2
x = 3 with multiplicity 2 and
x = -6 with multiplicity 4
x = 3 with multiplicity 4 and
x = -6 with multiplicity 2
22
Multiple Choice
Which of the following describes the roots of the polynomial function: f(x)=(x−3)4(x+6)2
Crosses where x = 3 and Bounces where x = -6
Bounces where x = -3 and Bounces where x = 6
Bounces where
x = 3 and Bounces where x = -6
Bounces where x = 3 and Crosses where x = -6
23
Multiple Choice
Is the leading coefficient positive or negative?
Is the degree even or odd?
f(x)=(x−3)4(x+6)2
Negative
Even
Negative
Odd
Positive
Even
Positive
Odd
24
Multiple Choice
Which of the following describes the end behavior of f(x)=(x−3)4(x+6)2
Right Arrow Up; Left Arrow Up
Right Arrow Up; Left Arrow Down
Right Arrow Down; Left Arrow Down
Right Arrow Down; Left Arrow Up
25
Multiple Choice
Which of the following describes the leading coefficient and degree of the function?
Leading Coefficient Positive
Degree - Even
Leading Coefficient Positive
Degree - Odd
Leading Coefficient Negative
Degree - Even
Leading Coefficient Negative
Degree - Odd
26
Multiple Choice
Which of the following describes the leading coefficient and degree of the function?
Leading Coefficient Positive
Degree - Even
Leading Coefficient Positive
Degree - Odd
Leading Coefficient Negative
Degree - Even
Leading Coefficient Negative
Degree - Odd
27
Multiple Choice
Which of the following describes the leading coefficient and degree of the function?
Leading Coefficient Positive
Degree - Even
Leading Coefficient Positive
Degree - Odd
Leading Coefficient Negative
Degree - Even
Leading Coefficient Negative
Degree - Odd
28
Multiple Choice
Which of the following describes the leading coefficient and degree of the function?
Leading Coefficient Positive
Degree - Even
Leading Coefficient Positive
Degree - Odd
Leading Coefficient Negative
Degree - Even
Leading Coefficient Negative
Degree - Odd
29
Multiple Choice
Which of the following describes the leading coefficient of the function?
30
Multiple Choice
Describe the end behavior
As x→−∞, f(x)→ ____
As x→∞, f(x)→ ____
-∞
-∞
+∞
+∞
31
Multiple Choice
Describe the end behavior
As x→−∞, f(x)→ ____
As x→∞, f(x)→ ____
-∞
-∞
+∞
+∞
32
Multiple Select
Choose all EVEN degree functions
A
B
C
D
33
Multiple Select
Choose all functions with a NEGATIVE leading coefficient
A
B
C
D
34
Multiple Choice
All polynomials have a range of (−∞,∞)
35
Multiple Choice
All polynomials have a domain of (−∞,∞)
36
Multiple Choice
How many roots does the function have?
2
3
4
5
37
Multiple Choice
How many intervals of increase does the function have?
2
0
4
3
38
Multiple Choice
What are the intervals of increase?
Remember: Look at the
(-∞, 2) U (-2, ∞)
(-2, 2) U (-2, ∞)
(-∞, -2) U (0.5, ∞)
(0, 2) U (0.5, ∞)
39
Multiple Choice
Does the function have an absolute maximum?
40
Multiple Choice
What is the blue point?
Absolute Maximum
Absolute Minimum
Local Maximum
Local Minimum
41
Complex Numbers
Use your calculator :)
Just remember, i2 = -1
42
Multiple Choice
(4 − 7i) − (-3 + 6i)
43
Multiple Choice
Calculate:
(4 + 3i)(4 − 3i)
16 − 9i
44
Multiple Choice
What is the simplified form of (-9 + 5i) + (3 -2i)
-12 + 31i
-6 + 3i
-11 + 7i
5 - 3i
Quadratic Applications
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