Podcast
Questions and Answers
Identify the graph of the function f(x) = 0.5(x + 3)² + 2.
Identify the graph of the function f(x) = 0.5(x + 3)² + 2.
- D (correct)
- C
- A
- B
Which graph shows the solutions to the equation (x - 2)² - 4 = 2x + 3?
Which graph shows the solutions to the equation (x - 2)² - 4 = 2x + 3?
- A
- B
- C (correct)
- D
Write a quadratic equation in standard form that has the solutions x = 7/2 and x = -3.
Write a quadratic equation in standard form that has the solutions x = 7/2 and x = -3.
- 2x² - x - 21 = 0
- 2x² + x - 21 = 0 (correct)
- 7x² + 19x - 6 = 0
- 2x² + 13x + 21 = 0
Write an equation for the parabola in vertex form.
Write an equation for the parabola in vertex form.
Solve the equation. 6x² + 23x = 18
Solve the equation. 6x² + 23x = 18
Solve the equation. (x - 5)² + 36 = 16
Solve the equation. (x - 5)² + 36 = 16
Factor, then find all roots. Record all correct
answers. x² - 6x² - 4x + 24 = 0
Factor, then find all roots. Record all correct answers. x² - 6x² - 4x + 24 = 0
Factor, then find all roots. Record all correct
answers. x⁴ + 3x² - 54 = 0
Factor, then find all roots. Record all correct answers. x⁴ + 3x² - 54 = 0
Write the equation for the graph.
Write the equation for the graph.
Which graph is the function f(x) = -x(x + 1)² (x - 2)³?
Which graph is the function f(x) = -x(x + 1)² (x - 2)³?
Solve x² + x = -1.
Solve x² + x = -1.
Consider h(x) = -x² + 8x + 15. Identify its vertex and y-intercept.
Consider h(x) = -x² + 8x + 15. Identify its vertex and y-intercept.
Identify the function that has a vertex of (4, -6) and a y-intercept of (0, 2).
Identify the function that has a vertex of (4, -6) and a y-intercept of (0, 2).
Find all the zeros of k(x) = 2x² + 33x - 54.
Find all the zeros of k(x) = 2x² + 33x - 54.
What is the factored form of f(x) = x² + 5x - 14?
What is the factored form of f(x) = x² + 5x - 14?
Simplify (2 - 3x)(3x² - 2x - 1).
Simplify (2 - 3x)(3x² - 2x - 1).
Identify the graph of the parabola y = 2(x - 2)(x + 3).
Identify the graph of the parabola y = 2(x - 2)(x + 3).
Which polynomial is equal to (x + 1) ÷ (x + 1)?
Which polynomial is equal to (x + 1) ÷ (x + 1)?
Which of the following is NOT a factor of f(x) = x⁴ - 4x³ - 5x² - 36x - 36?
Which of the following is NOT a factor of f(x) = x⁴ - 4x³ - 5x² - 36x - 36?
Which of the following IS a factor of f(x) = x⁴ - 27x² - 14x + 120?
Which of the following IS a factor of f(x) = x⁴ - 27x² - 14x + 120?
What is the a value of the quadratic function y = ax² + bx + c that has zeros of 9 and -8 and contains the point (6, -14)?
What is the a value of the quadratic function y = ax² + bx + c that has zeros of 9 and -8 and contains the point (6, -14)?
Which of the following statements are true?
I. f(x) = -10x² + 2x² - x + 1 has at most 3 zeros.
II. g(x) = 2x + 5 has at most 2 zeros.
III. h(x) = x⁴ + 2x² - 4x³ has at most 5 zeros.
Which of the following statements are true? I. f(x) = -10x² + 2x² - x + 1 has at most 3 zeros. II. g(x) = 2x + 5 has at most 2 zeros. III. h(x) = x⁴ + 2x² - 4x³ has at most 5 zeros.
Select the form that reveals the values where f(x) = 0 without changing the form of the equation.
Select the form that reveals the values where f(x) = 0 without changing the form of the equation.
Select the values of x for which f(x) = 0.
Select the values of x for which f(x) = 0.
Write the polynomial function in factored form of least degree that has rational coefficients, a leading coefficient of 1, and the zeros 0, -7, √2, and -9i
Write the polynomial function in factored form of least degree that has rational coefficients, a leading coefficient of 1, and the zeros 0, -7, √2, and -9i
Which statement is true?
Which statement is true?
What is the maximum height obtained by the ball?
What is the maximum height obtained by the ball?
Flashcards
What is the standard form of a quadratic equation?
What is the standard form of a quadratic equation?
A quadratic equation in standard form is written as ax² + bx + c = 0, where a, b, and c are constants.
What are the solutions to a quadratic equation called?
What are the solutions to a quadratic equation called?
The solutions to a quadratic equation are the values of x that make the equation true. They are also known as the roots or zeros of the equation.
What is the vertex form of a parabola?
What is the vertex form of a parabola?
The vertex form of a parabola is given by y = a(x - h)² + k, where (h, k) represents the coordinates of the vertex.
What is the vertex of a parabola?
What is the vertex of a parabola?
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What is the y-intercept of a graph?
What is the y-intercept of a graph?
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What is a quadratic function?
What is a quadratic function?
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What are the zeros of a polynomial function?
What are the zeros of a polynomial function?
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What does it mean to factor a polynomial?
What does it mean to factor a polynomial?
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What is the leading coefficient of a polynomial?
What is the leading coefficient of a polynomial?
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What is the degree of a polynomial?
What is the degree of a polynomial?
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What is a polynomial function?
What is a polynomial function?
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What is a factor of a polynomial?
What is a factor of a polynomial?
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How can you find the maximum or minimum value of a quadratic function?
How can you find the maximum or minimum value of a quadratic function?
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How do you find the maximum height of a projectile?
How do you find the maximum height of a projectile?
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Study Notes
Algebra 2 Final Exam - Study Notes
- Graphing functions: Identify graphs of quadratic functions.
- Quadratic equations: Solve quadratic equations in standard form. The solutions will be provided or determined.
- Vertex form of parabolas: Write equations for parabolas in vertex form given a graph or vertex details.
- Factoring and roots: Factor quadratic equations to determine the roots or solutions.. Identify all correct answers.
- Solving quadratic equations (various methods): Practice solving different types of quadratic equations.
- Vertex and y-intercept: Identify vertex and y-intercepts from quadratic functions.
- Factored form: Find the factored form of quadratic expressions like x² + 5x - 14 .
- Simplifying expressions: Simplify polynomial expressions.
- Polynomial factors: Determine factors and zeros of polynomial expressions.
- Polynomial solutions: Solve various degree polynomial equations involving zero finding concepts. Factor and find all roots given.
- Quadratic function minimums/maximums: Determine minimums and maximum values of quadratic functions.
- Equation of a parabola: Write the equation of a parabola given characteristics like zeros, vertex, graph.
- Polynomial functions (rational coefficients): Write the polynomial in factored from based off provided zeros and leading coefficients.
- Transformations of functions: Select a form of equation to represent the function transformation.
- Real-world applications: Understanding real world problems and applying math. A projectile is launched, and the height is expressed as a quadratic expression, and maximum height is calculated .
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