Chapter 0 More Chapter 0

Vertex & Standard

Form

Transformations

X-Intercepts

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50 50 50 50 50

Question 1 - 10

(–1, –2)

(3, 3)

(–4, 6)

x

y

What is the domain and range?

Answer 1 – 10

• Domain: {x| -4 ≤ x < 3}• Range: {y| -2 ≤ y ≤ 6}

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)

Answer 1 – 20

• y – 4 = ⅛ (x + 6)

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)

Answer 1 – 30

• y + 3 = 3/5(x – 12)

Question 1 - 40

Answer 1 – 40

• A

Question 1 - 50

Answer 1 – 50

• Domain: 3• Range: 4

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:

Answer 2 – 10

• x = price truck• f(x) = price including tax and title• f(x) = 1.07x + 650

Question 2 - 20

• Then find the equation of 5x + 3y = 12 that goes thru (-2 ,-6)

Answer 2 – 20

• y + 6 = -5/3(x + 2)

Question 2 - 30

• Solve:• |3x – 3| - 6 = 3

Answer 2 – 30

• x = 4 and x = -2

Question 2 - 40

• Graph:

-4|2x – 4| + 8 < -24

Answer 2 – 40

• x < -2 and x > 6

Question 2 - 50

Answer 2 – 50

• B. r = -.98• C. f(x) = -.46x + 80.08• D. Albany = about 66, Sydney = about 48

Question 3 - 10

• What is the y-intercept?

F(x) = 4x2 – 5x + 12

Answer 3 – 10

• (0, 12)

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

Answer 3 – 20

• Maximum = -10

Question 3 - 30

• What is the vertex and line of symmetry?

• g(x) = 4x2 + 2x – 8

Answer 3 – 30

• Line of symmetry: x = -1/4• Vertex: (-1/4, -33/4)

Question 3 - 40

• Write each function in vertex formf(x) = -x2 - 4x - 1

Answer 3 – 40

• f(x) = -(x + 2)2 + 3

Question 3 - 50

• State the functions maximum value or a minimum value by completing the square

y = 2x2 – 8x – 1

Answer 3 – 50

• Min value: -9

Question 4 - 10

• Describe the transformations occurring in relation to the parent function.

Answer 4 – 10

• Translated right 5• Translated up 6• Reflected over the x-axis• Vertically compressed by 3/4

Question 4 - 20

• Describe the transformation occuring in relation to the parent function.

Answer 4 – 20

• Translated left 7• Translated down 8• Reflected over the x-axis• Vertically stretched by 4

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

Answer 4 – 30

Question 4 - 40

(2, 4)

x

y

(2, 4)

x

y

1. 2.

Match the equation with the graph.

A. B.

Answer 4 – 40

• 1. B • 2. A

Question 4 - 50Match the equation with the graph.

(2, 4)

(0, –1) x

y

(2, 4)

x

y

A. B.

2.1.

Answer 4 – 50

• 1. A• 2. B

Question 5 - 10

Find the zeros:

0 = x2 – 19x + 48

Answer 5 – 10

• (3, 0) and (16, 0)

Question 5 - 20

• Find the zeros:

h(x) = 6x2 + x - 12

Answer 5 – 20

• x = 4/3 and x = -3/2

Question 5 - 30

• Find the vertex, y-intercept, and zeros.

• F(x) = -2x2 + 4x

Answer 5 – 30

• Vertex: (1, 2)• Y-Int: (0, 0)• Zeros: (0, 0) and (2, 0)

Question 5 - 40

Find x-intercepts:

f(x) = 12x2 – 38x – 72

Answer 5 – 40

• (-4/3, 0) and (9/2, 0)

Question 5 - 50

• Factor:

48x2 + 46x – 24

Answer 5 – 50

• (8x – 3) (3x + 4)