chapter 0 more chapter 0 vertex & standard form transforma tions x- intercepts 10 20 30 40 50
TRANSCRIPT
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Chapter 0 More Chapter 0
Vertex & Standard
Form
Transformations
X-Intercepts
10 10 10 10 10
20 20 20 20 20
30 30 30 30 30
40 40 40 40 40
50 50 50 50 50
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Question 1 - 10
(–1, –2)
(3, 3)
(–4, 6)
x
y
What is the domain and range?
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Answer 1 – 10
• Domain: {x| -4 ≤ x < 3}• Range: {y| -2 ≤ y ≤ 6}
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Question 1 - 20
• Find the equation of a line using the best form, if the line passes thru the points (-6, 4) and (2, 5)
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Answer 1 – 20
• y – 4 = ⅛ (x + 6)
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Question 1 - 30
• Find the equation of the line that is perpendicular to the line 5x + 3y = 12 and the line goes thru (12, -3)
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Answer 1 – 30
• y + 3 = 3/5(x – 12)
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Question 1 - 40
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Answer 1 – 40
• A
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Question 1 - 50
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Answer 1 – 50
• Domain: 3• Range: 4
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Question 2 - 10
I just bought a new truck at Bob Mickey’s and the title/license cost me an additional $650 on top of the overall price including tax.
Define a linear model that will calculate the cost that I spent including the tax of 7%.
X represents:F(x) represents:Write the function:
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Answer 2 – 10
• x = price truck• f(x) = price including tax and title• f(x) = 1.07x + 650
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Question 2 - 20
• Then find the equation of 5x + 3y = 12 that goes thru (-2 ,-6)
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Answer 2 – 20
• y + 6 = -5/3(x + 2)
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Question 2 - 30
• Solve:• |3x – 3| - 6 = 3
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Answer 2 – 30
• x = 4 and x = -2
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Question 2 - 40
• Graph:
-4|2x – 4| + 8 < -24
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Answer 2 – 40
• x < -2 and x > 6
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Question 2 - 50
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Answer 2 – 50
• B. r = -.98• C. f(x) = -.46x + 80.08• D. Albany = about 66, Sydney = about 48
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Question 3 - 10
• What is the y-intercept?
F(x) = 4x2 – 5x + 12
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Answer 3 – 10
• (0, 12)
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Question 3 - 20
• Then state whether each function has a maximum value or a minimum value. The find that value.
f(x) = -5(x + 9)2 – 10
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Answer 3 – 20
• Maximum = -10
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Question 3 - 30
• What is the vertex and line of symmetry?
• g(x) = 4x2 + 2x – 8
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Answer 3 – 30
• Line of symmetry: x = -1/4• Vertex: (-1/4, -33/4)
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Question 3 - 40
• Write each function in vertex formf(x) = -x2 - 4x - 1
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Answer 3 – 40
• f(x) = -(x + 2)2 + 3
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Question 3 - 50
• State the functions maximum value or a minimum value by completing the square
y = 2x2 – 8x – 1
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Answer 3 – 50
• Min value: -9
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Question 4 - 10
• Describe the transformations occurring in relation to the parent function.
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Answer 4 – 10
• Translated right 5• Translated up 6• Reflected over the x-axis• Vertically compressed by 3/4
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Question 4 - 20
• Describe the transformation occuring in relation to the parent function.
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Answer 4 – 20
• Translated left 7• Translated down 8• Reflected over the x-axis• Vertically stretched by 4
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Question 4 - 30
• Having f(x) = x2 as the parent function, draw the graph with the following transformations;– Translated right 5– Translated up 1– Vertically stretched by 2– Reflected over the x-axis
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Answer 4 – 30
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Question 4 - 40
(2, 4)
x
y
(2, 4)
x
y
1. 2.
Match the equation with the graph.
A. B.
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Answer 4 – 40
• 1. B • 2. A
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Question 4 - 50Match the equation with the graph.
(2, 4)
(0, –1) x
y
(2, 4)
x
y
A. B.
2.1.
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Answer 4 – 50
• 1. A• 2. B
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Question 5 - 10
Find the zeros:
0 = x2 – 19x + 48
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Answer 5 – 10
• (3, 0) and (16, 0)
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Question 5 - 20
• Find the zeros:
h(x) = 6x2 + x - 12
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Answer 5 – 20
• x = 4/3 and x = -3/2
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Question 5 - 30
• Find the vertex, y-intercept, and zeros.
• F(x) = -2x2 + 4x
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Answer 5 – 30
• Vertex: (1, 2)• Y-Int: (0, 0)• Zeros: (0, 0) and (2, 0)
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Question 5 - 40
Find x-intercepts:
f(x) = 12x2 – 38x – 72
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Answer 5 – 40
• (-4/3, 0) and (9/2, 0)
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Question 5 - 50
• Factor:
48x2 + 46x – 24
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Answer 5 – 50
• (8x – 3) (3x + 4)