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Quadratic Functions (Algebra 2/Trig)

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Section 1

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Square Root

Front

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Algebra Math

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4 years ago

Date created

Mar 1, 2020

Cards (20)

Section 1

(20 cards)

Square Root

Front

A number that when multiplied by itself equals a given number.

Back

Factors

Front

Numbers or expressions that are being multiplied to form a product. [Ex: 2 x 6 = 12 or (x-3)(x+2) = x²-x-6 ]

Back

Discriminant

Front

The expression under the radical sign in the quadratic formula. It indicates the number and the type (rational, irrational, complex) of real solutions a quadratic function will have (0, 1, 2).

Back

Standard Form

Front

a = dilation c = y-intercept (0, c)

Back

No Solutions (quadratic)

Front

A quadratic function that does not have an x-intercept. There are NO REAL solutions, but there are 2 COMPLEX solutions. The discriminant is a negative value.

Back

Intercept Form

Front

The product of two expressions. a = dilation (p, 0) & (q, 0) = x-intercepts

Back

Parabola

Front

A symmetrical curve formed by a quadratic function.

Back

One Solution (quadratics)

Front

A quadratic function that has one x-intercept. The discriminant has a value of zero. This indicates that the zero is repeating or is said to have a multiplicity of 2.

Back

Quadratic Function

Front

A function whose input is squared. This means there will be two inputs that yield the same output.

Back

y-intercept

Front

The value of the output when the input is zero. The location where the graph of a function touches the y-axis.

Back

Irrational Number

Front

Non-repeating, non-terminating decimal numbers. Examples: pi and the square root of 2

Back

x-intercepts (zeros, roots, solutions)

Front

The value of the input when the output is zero. The location where the graph of a function touches the x-axis. (4 terms for the same thing)

Back

Axis of Symmetry

Front

A vertical line (x=a) that divides a parabola into two symmetrical halves.

Back

Vertex Form

Front

a = dilation (h, k) = coordinate of vertex

Back

Radical

Front

The number of times the radicand is multiplied by itself.

Back

Quadratic Formula

Front

Method used to find the x-intercepts (solve) a quadratic equation that cannot be factored.

Back

Two Solutions (quadratic)

Front

A quadratic function that has two x-intercepts. The discriminant is a positive value.

Back

Secant Line

Front

A line that intersects a graph in two points. The slope of a secant line represent the average rate of change between the two points.

Back

Vertex

Front

The input that yields the minimum or maximum output value of a quadratic function. Turning point on a parabola and where the axis of symmetry is located.

Back

Rational Number

Front

A number that can be written as a quotient of two integers.

Back