Chapter 2 Vocabulary Flashcards

1
Q

U-shaped curve when a quadratic function is graphed

A

Parabola

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2
Q

A vertical line through the vertex of the function’s graph

A

Axis of symmetry

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3
Q

The highest and lowest points of a parabola

A

Vertex

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4
Q

When a parabola opens upward, is the y-value at it’s minimum or maximum value?

A

Minimum

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5
Q

When a parabola opens downwards, is the y-value at its minimum or maximum value?

A

Maximum

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6
Q

If the value of a>0, does the parabola open upwards or downwards?

A

Upwards (a=positive=like a smile)

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7
Q

What property states that if two quantities multiply to zero, then at least one is zero?

A

Zero Product Property

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8
Q

The ____ of an equation are the values of the variable that make the equation true.

A

Roots

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9
Q

The Zeros of a function are the _____ intercepts (x or y?)

A

X intercepts

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10
Q

Which form (vertex or standard) helps identify other properties such as the y-intercept and is written:
f(x)= ax^2 + bx + c, where a does not equal 0

A

standard

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11
Q

Which form (vertex or standards) helps identify transformations and is written:
f(x)= a (x-h)^2 + k

A

vertex

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12
Q

If a<0, does the parabola face upwards or downwards?

A

downwards (negative=sad=frown)

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13
Q

True or false: a quadratic always contains a square

A

True (“quad” means square)

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14
Q

True or false: There is always a squared variable in a quadratic function?

A

True

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15
Q

If the parabola x-intercepts are -5 and 6, what are the zeros?

A

-5 and 6 (zeros are the same as the x-intercepts)

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16
Q

The solutions to a quadratic equation are called what?

A

roots

17
Q

If two binomial factors are identical, the original expression is called what?

A

A perfect square trinomial

18
Q

The x-intercepts of a parabola are also called ____?

A

Zeros

19
Q

True or false: A zero of a function is the x-intercept of the graph

A

True

20
Q

The square root of a negative number is called a ____number.

A

Imaginary

21
Q

The value of the input x that makes the output f(x) equal zero is called the ______.

A

Zero of a function

22
Q

a ____equation is one whose graph is a line

A

Linear

23
Q

a _____function always contains a square

A

quadratic

24
Q

When a parabola opens upwards, is the y-value of the vertex the MINIMUM or MAXIMUM value of a quadratic function?

A

minimum

25
Q

The _____ is the point at which the parabola intersects the axis of symmetry

A

vertex

26
Q

True or false: The discriminant tells you how many roots there are in a quadratic function

A

true