Functions 2 Flashcards

1
Q

af(x)

A

stretch along y axis (vertical stretch)

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2
Q

-f(x)

A

reflection in x axis

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3
Q

f(x)+k

A

translation along y axis (vertical translation)

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4
Q

f(x-k)

A

translation along x-axis (horizontal translation)

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5
Q

f(kx)

A

stretch along x-axis

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6
Q

f(-x)

A

reflection on y-axis

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7
Q

standard form

A

ax^2 + bx + c

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8
Q

vertex form

A

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

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9
Q

intercept form

A

y= a(x-p)(x-q)

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10
Q

converting from standard to vertex

A

complete the square

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11
Q

converting from standard to intercept

A

find x-intercepts and inverse signs

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12
Q

convert from intercept to standard

A

expand

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13
Q

converting from vertex to standard

A

expand

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14
Q

-b^24ac>0

A

two real roots

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15
Q

-b^24ac=0

A

two repeated roots (one real root)

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16
Q

b^2-4ac<0

A

no real roots