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Questions and Answers
What is an absolute value function?
Define axis of symmetry.
The vertical line containing the vertex of a parabola.
What does completing the square involve?
Adding a constant term to a binomial so that the resulting trinomial is a perfect square.
What is dilation?
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What is a discriminant in the quadratic formula?
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What is a double root?
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Define the greatest integer function.
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What is maximum in the context of a graph?
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What does minimum refer to in a curve?
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What is a parabola?
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Define a piecewise defined function.
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What is a piecewise linear function?
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State the quadratic formula.
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What is a quadratic function?
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Define reflection in geometry.
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What is the standard form of a linear equation?
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What is a step function?
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Define transformation in geometry.
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What is a translation?
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What is a vertex in a parabola?
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Study Notes
Key Algebra Terms

Absolute Value Function: Defined as f(x)=x, this function always yields nonnegative values, where f(x) â‰¥ 0 for all x.

Axis of Symmetry: A vertical line through the vertex of a parabola, acting as a mirror that divides it into two symmetric halves.

Completing the Square: A method used to convert a binomial of the form xÂ² + bx into a perfect square trinomial by adding a constant term.

Dilation: Refers to a transformation that scales the size of a figure while preserving its shape.

Discriminant: In the quadratic formula, represented by the expression bÂ²  4ac, this determines the nature of the roots.

Double Root: Occurs in a quadratic function when both roots are the same, indicating a repeated solution.

Greatest Integer Function: Notated as f(x) = [x], it outputs the largest integer less than or equal to x, creating a steplike graph.

Maximum: The highest point that can be reached on the graph of a curve, representing the maximum value of the function.

Minimum: The lowest point on the graph of a curve, representing the minimum value of the function.

Parabola: The graphical representation of a quadratic function, characterized by its Ushape.

Piecewise Defined Function: A function composed of multiple expressions, each applicable to specific intervals of the input variable.

Piecewise Linear Function: A type of piecewise function that consists of linear expressions across its defined intervals.

Quadratic Formula: Used for solving quadratic equations of the form axÂ² + bx + c = 0, provided a â‰ 0. Expressed as x = (b Â± âˆš(bÂ²  4ac)) / (2a).

Quadratic Function: An equation defined as axÂ² + bx + c, where a â‰ 0, representing a parabolic relationship between variables.

Reflection: A transformation that flips a figure across a line, especially relevant when a negative sign precedes the quadratic term in a function.

Standard Form: The format ax + by = c for linear equations, adhering to constraints where a â‰¥ 0, both a and b are not zero, and the coefficients are integers with a greatest common factor of 1.

Step Function: Exhibits a graph composed of horizontal line segments, creating steps in the functionâ€™s value.

Transformation: Describes any movement made to a geometric figure, whether through translation, reflection, dilation, or rotation.

Translation: A specific type of transformation where a figure shifts its position without rotation or resizing.

Vertex: Represents the peak or lowest point of a parabola, where either maximum or minimum occurs, crucial for understanding the parabola's behavior.
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Description
Test your understanding of essential algebra concepts with this quiz on key terms. From the absolute value function to the greatest integer function, each question will challenge your knowledge and application of these foundational ideas. Perfect for students looking to reinforce their algebra skills.