
Precalculus Section 2.1 Part 1
Presentation
•
Mathematics
•
9th - 12th Grade
•
Easy
Standards-aligned
Shane Devlin
Used 17+ times
FREE Resource
18 Slides • 17 Questions
1
Quadratic Functions
2
3
4
Multiple Choice
What is the vertex of the parabola?
f(x) = −x2
(0, 0)
(1, 0)
(1, 1)
(0, 2)
5
Multiple Choice
What is the vertex of the parabola?
f(x) = x2−3
(0, 0)
(3, 0)
(0, -3)
(-3, 0)
(0, 3)
6
Multiple Choice
What is the vertex of the parabola?
f(x) = (x−4)2
(0, 0)
(4, 0)
(0, -4)
(-4, 0)
(0, 4)
7
Multiple Choice
What is the vertex of the parabola?
f(x) = (x+1)2+2
(0, 0)
(1, -2)
(-1, -2)
(-1, 2)
(1, 2)
8
Multiple Choice
What is the vertex of the parabola?
f(x) = x2+2x+3
(0, 0)
(1, -2)
(-1, -2)
(-1, 2)
(1, 2)
9
10
What do you remember?
11
Multiple Choice
What is the leading coefficient of the following polynomial?
5x² - 3x + 6
12
Multiple Choice
x² - 5
6x + 4
2x³ - 9x²
13
Multiple Choice
Find the constant in the polynomial:
x4 - 7x3 + 3x2 - 2x + 5
1
2
5
0
14
Multiple Choice
x³ + 5
x² + 3
x² + 5x - 6
15
Multiple Choice
x2 + 2x3 - 4
binomial
trinomial
quadratic
cubic
16
Multiple Choice
5x-2 +3x - 2
-2x + 5
17
Multiple Choice
Determine the "degree" of this polynomial?
f(x)=x3+6x−2x4+7x5+12
1
3
4
5
12
18
Multiple Choice
How do you determine the "degree" of a polynomial?
f(x)=x3+6x−2x4+7x5+12
It is the leading coefficient.
It is the exponent of the first term
It is the exponent of the highest power in the polynomial
It determines the optimal temperature of the polynomial
19
20
21
22
23
24
Open Ended
Partner up. In a group of 2 or 3 discuss the following graph and then designate one person to type a agreed upon description of the graph for the group. Include the vertex of the parabola in your description.
f(x) =2x2+1
25
Open Ended
Partner up. In a group of 2 or 3 discuss the following graph and then designate one person to type a agreed upon description of the graph for the group. Include the vertex of the parabola and the axis of symmetry in your description.
f(x) =(x+3)2−4
26
Open Ended
Partner up. In a group of 2 or 3 discuss the following graph and then designate one person to type a agreed upon description of the graph for the group. Include the vertex of the parabola and the axis of symmetry in your description.
f(x) =x2−4x+4
27
28
29
30
31
32
33
34
Open Ended
Your turn: Find the vertex of the parabola.
f(x) = x2−4x+9
35
1 - 3, 5 - 9, 11 - 23 odd, 27, 29
on 23, 27 and 29 factor or complete the square to get the equation into standard form to find the vertex.
Page 96
Quadratic Functions
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