Unit 2A Flashcards

1
Q

What is standard form?

A

f(x) = ax^2 + bx +c

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2
Q

What is Vertex Form?

A

f(x) = a(x-h)^2 + k

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3
Q

How do you find the vertex of Standard Form?

A

(-b/2a, f(-b/2a))

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4
Q

How do you find the vertex of Vertex Form?

A

(h, k)

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5
Q

How do you find the AOS of Standard Form?

A

x = -b/2a

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6
Q

How do you find the AOS of Vertex Form?

A

x = h

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7
Q

How do yiu find the y-intercept of Standard Form?

A

(0, c)

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8
Q

How do you find the y-intercept of Vertex Form?

A

(0, f(0))

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9
Q

What is the domain of BOTH Standard and Vertex Form?

A

All Real Numbers

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10
Q

What is the range of Standard Form?

A

[ f(-b/2a) , infinity ]

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11
Q

What is the Range of Vertex Form?

A

[ k , infinity ) OR ( -infinity , k ]

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12
Q

What is factored form?

A

f(x) = a(x-r1) (x-r2)

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13
Q

What is the quadratic formula?

A

_______________
-b +/- |(b)^2 - 4 (a)(c)
——————————-
2 (a)

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14
Q

What is the quadratic formula the same as?

A

Completeing the Square

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15
Q

If an is > than 0 and n is even…

A

The graph goes up on both sides

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16
Q

If an is > than 0 and n is odd…

A

The left of the graph goes doen and the right goes up

17
Q

If an is < than 0 and n is even…

A

The graph’s lines point down

18
Q

If an is < than 0 and n is odd…

A

The left of the fraph points up and the right points down

19
Q

The graph of a function with an EVEN multiplicity…

A

BOUNCES off the x-axis and FLATTENS out as the number gets higher

20
Q

The graph of a function with an ODD multiplicity…

A

Goes THROUGH the x-axis and CURVES as the multiplicity rises