Larson Algebra 2 Honors Ch 1 Vocab – Flashcards
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Quadratic function
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A function that can be written in the form f(x) = ax^2+bx+c, where a,b,and c are real numbers and a ≠ 0
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Parabola
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the graph of a quadratic function
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Vertex form of a quadratic function
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y = a(x-h)^2 + k
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Intercept form of a quadratic function
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y = a(x-p)(x-q)
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Maximum Value
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the y-coordinate of the vertex if a < 0 for y = ax^2 + bx + c. The graph would face downwards
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Minimum Value
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the y-coordinate of the vertex if a > 0 for y = ax^2 + bx + c. The graph would face upwards
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Vertex
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The lowest or highest point on a parabola
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Axis of symmetry
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the line passing through the vertex that divides the parabola into 2 symmetric parts
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Root of an equation
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A solution of an equation.
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Zero of a function
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An x-intercept of the graph of a function.
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imaginary unit i
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a nonreal number equal to the square root of -1. Can be used to write the square root of any number
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Standard form of a complex number
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a+bi
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Pure imaginary number
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a+bi, where a = 0 and b ≠ 0
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complex conjugates
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Two complex numbers of the form a+bi and a-bi
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Absolute value of a complex number
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a nonnegative real number defined as |z|=(square root)a^2+b^2
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discriminant
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is the expression under the radical sign in the quadratic formula.
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Quadratic Inequality in two variables
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An inequality that can be written in one of the following forms: y ax2 + bx + c, y ≤ ax2 + bx + c , y ≥ ax2 + bx + c , or y ≠ ax2 + bx + c, where a, b, and c are real numbers and a ≠ 0
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Quadratic Inequality in one variable
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An inequality that can be written in one of the following forms: 0 ax2 + bx + c, 0 ≤ ax2 + bx + c , 0 ≥ ax2 + bx + c , or y ≠ ax2 + bx + c, where a, b, and c are real numbers and a ≠ 0
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Radical
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a expression made up of: -a radical sign -a radicand
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radicand
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The number or expression inside a radical symbol
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Rationalizing the denominator
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A method used to eliminate radicals from the denominator of a fraction. https://www.mathsisfun.com/algebra/rationalize-denominator.html
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Conjugates
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expressions that are the same but have opposite signs
