HPC Section 2.1 Part 1
Presentation
•
Mathematics
•
9th - 12th Grade
•
Easy
Standards-aligned
Shane Devlin
Used 13+ times
FREE Resource
18 Slides • 17 Questions
1
HPC Section 2.1
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)
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10
Polynomials
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
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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
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29
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Find the vertex
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Find the vertex
34
Open Ended
Your turn: Find the vertex of the parabola.
f(x) = x2−4x+9
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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
HPC Section 2.1
Quadratic Functions
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