X intercepts - Study guides, Class notes & Summaries

2.6.3 Practice: Quadratic Functions Answer the following questions using what you've learned from this unit. Write your responses in the space provided. 1. A function that can be written in the form , where is called a standard function. Its graph is a shape called a parabola. (1 point) 2. List the important features for the graph of a quadratic function. (1 point) 1.Whether it’s up or down 2. Vertex 3. Point of intercept 4. Intercepts of the graph 3. Write each form of the quadrati...

1. Which of the following is a key assumption of the supply and demand model? A) that the price and quantity sold are determined in a single market B) that the prices and quantities sold are simultaneously determined in all markets C) the way the whole economy achieves equilibrium D) that international markets affect domestic markets, which in turn affect local markets 2. A key assumption of the supply and demand model is that: A) each firm's good is unique and cannot be duplic...

Part 1 Part 1 Simplify (2a^3b)^-3 (2^-3 a^(3 -3) * b^-3) 2^-3 a^-9b^-3 1/8a^9b^3 Simplify (-4x^2y^-3)^-2 y^6/16x^4 Simplify Radical 1/64 Radical 1/Radical 64 1/8 ^3 Radical -27 -3 Complex numbers: Complex numbers Find x and y such that the following is correct: 3x + 5yi= 15 + 5i 3x + 5yc= 15 + 5c 3x=15 and 5yc=5c x=5 and y=1 Find x and y such that the following is correct: 10x -4yi = 20 + 1/2i 10x - 4y...

PRECALCULUS Study Questions with Answers Rational Number - Answer--any number that is a real number that can be written ass a terminating or repeating decimal Irrational Number - Answer--real number that cannot be written as a terminating or repeating decimal (square root of 5) Quadratic Formula - Answer--b±[√b²-4ac]/2a Factoring Cubes - Answer-a^3+b^3=(a+b) (a^2-ab+b^2) -if it is A^3-B^3 then change to (a-b)(a^2+ab+b^2) Discriminant - Answer--for quadratic expression, the d...

distance formula d = √[( x₂ - x₁)² + (y₂ - y₁)²] pythagorean theorem a²+b²=c² area of a triangle A=1/2bh midpoint formula (x₁+x₂)/2, (y₁+y₂)/2 parabola the graph of a quadratic function axis of a parabola the line passing through the focus and the vertex vertex of the parabola the highest or lowest point on the graph (h,k) = (x,y) x-intercepts X intercept: (#, 0) let y = 0, then solve for x y-intercepts Y i...

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1. 2. 3. 4. (a) x2 − 2x − 3 = 0 (d) x2 − 4x + 1 = 0 5. (a) vertex: (4,−3) x-intercepts: (4 y-intercept: (0,29) axis of symmetry: x = 4 (b) vertex: (−3,1) x-intercepts: (−4,0),(−2,0) y-intercept: (0,−8) axis of symmetry: x = −3 x-intercepts: ( y-intercept: (0,1) axis of symmetry: x = −1 √ √ x-intercepts: ( 5,0),(− 5,0) 6. (a) vertex: (−2,−4) x-intercepts: none y-intercept: (0,−8) axis of symmetry: x = −2 (b) vertex: ...

Metropolitan area (MSA) correct answers group counties into socioeconomically linked surroundings; contain city w/ 50k+ inhabitants or urban area with 100k+ population Commuting Zone ("CZ") correct answers group of counties based on commuting flows (i.e. economically integrated); covers entire USA Counties correct answers vary in size (often many counties in "metro area"); administratively based (subdivision of states) Census tracts correct answers statistically based - no need to c...

PRECALCULUS GUIDE Rational Number - answer-any number that is a real number that can be written ass a terminating or repeating decimal Irrational Number - answer-real number that cannot be written as a terminating or repeating decimal (square root of 5) Quadratic Formula - answer-b±[√b²-4ac]/2a Factoring Cubes - answera^3+b^3=(a+b) (a^2-ab+b^2) -if it is A^3-B^3 then change to (a-b)(a^2+ab+b^2) Discriminant - answer-for quadratic expression, the discriminant is b^2-4ac -determines t...

MATH PLACEMENT EXAM PRACTICE PROBLEMS GEORGIA STATE UNIVERSITY WITH COMPLETE SOLUTIONS 100% 2023/2024 Part 1 Part 1 Simplify (2a^3b)^-3 (2^-3 a^(3 -3) * b^-3) 2^-3 a^-9b^-3 1/8a^9b^3 Simplify (-4x^2y^-3)^-2 y^6/16x^4 Simplify Radical 1/64 Radical 1/Radical 64 1/8 ^3 Radical -27 -3 Complex numbers: Complex numbers Find x and y such that the following is correct: 3x + 5yi= 15 + 5i 3x + 5yc= 15 + 5c 3x=15 and 5yc=5c x=5 and y=1 ...