Chapter 0 More Chapter 0 Vertex & Standard Form Transforma tions X- Intercepts

Question What is the domain and range?

Answer 1 – 10 Domain: {x| -4 ≤ x < 3} Range: {y| -2 ≤ y ≤ 6}

Question 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 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

Answer 1 – 40 A

Question

Answer 1 – 50 Domain: 3 Range: 4

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

Answer 2 – 20 y + 6 = -5/3(x + 2)

Question Solve: |3x – 3| - 6 = 3

Answer 2 – 30 x = 4 and x = -2

Question Graph: -4|2x – 4| + 8 < -24

Answer 2 – 40 x 6

Question

Answer 2 – 50 B. r = -.98 C. f(x) = -.46x D. Albany = about 66, Sydney = about 48

Question What is the y-intercept? F(x) = 4x 2 – 5x + 12

Answer 3 – 10 (0, 12)

Question 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 What is the vertex and line of symmetry? g(x) = 4x 2 + 2x – 8

Answer 3 – 30 Line of symmetry: x = -1/4 Vertex: (-1/4, -33/4)

Question Write each function in vertex form f(x) = -x 2 - 4x - 1

Answer 3 – 40 f(x) = -(x + 2) 2 + 3

Question State the functions maximum value or a minimum value by completing the square y = 2x 2 – 8x – 1

Answer 3 – 50 Min value: -9

Question 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 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 Having f(x) = x 2 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 Match the equation with the graph. A.B.

Answer 4 – B 2. A

Question Match the equation with the graph. A. B. 2.1.

Answer 4 – A 2. B

Question Find the zeros: 0 = x 2 – 19x + 48

Answer 5 – 10 (3, 0) and (16, 0)

Question Find the zeros: h(x) = 6x 2 + x - 12

Answer 5 – 20 x = 4/3 and x = -3/2

Question Find the vertex, y-intercept, and zeros. F(x) = -2x 2 + 4x

Answer 5 – 30 Vertex: (1, 2) Y-Int: (0, 0) Zeros: (0, 0) and (2, 0)

Question Find x-intercepts: f(x) = 12x 2 – 38x – 72

Answer 5 – 40 (-4/3, 0) and (9/2, 0)

Question Factor: 48x x – 24

Answer 5 – 50 (8x – 3) (3x + 4)