Algebra Flashcards

1
Q

Vertical translations shift because of outputs or inputs? Which direction do they shift

A

Outputs shift up or down

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2
Q

When does the x-intercept stay the same when you reflect

A

When doing a reflection in the x-axis

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3
Q

What happens when you multiply the output by -1 in a reflection on the x-axis

A

Multiplying the whole problem by negative one changes the sign for only the outputs but not inputs

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4
Q

What happens to the inputs when reflecting over the y-axis

A

Their sign changes because you’re multiplying by negative one but outputs stay the same

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5
Q

What does it mean when a is in parenthesis?

A

It is a horizontal adjustment

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6
Q

How do you know it’s a horizontal shrink?

A

When a is greater than one

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7
Q

What do you multiply when a is affecting a horizontal adjustment

A

Just the x in the input and it’s the reciprocal of a

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8
Q

What does a have to be to be a horizontal stretch?

A

Between zero and one

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9
Q

Where does a have to be for a vertical adjustment?

A

Outside the parenthesis

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10
Q

What does a affect in a vertical adjustment?

A

Everything outside the parenthesis

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11
Q

What does a have to be when stretching vertically

A

Greater than one

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12
Q

When does a have to be when shrinking vertically

A

Between zero and one

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13
Q

Which intercept stays the same when stretching vertically

A

X

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14
Q

Which intercept stays the same when you stretch horizontally

A

Y

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15
Q

Horizontal Translations

A

Inputs shift left or right
(X-h) shift right
(X+h) shift left
OPPOSITE OF WHAT YOU EXPECT

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16
Q

Domain and range of constant

A

D- x=all real

R- y=1

17
Q

Domain and range of linear

A

D- x=all real

R- y=all real

18
Q

Domain and range of absolute value

A

D- x=all real

R- y>(greater than or equal to) 0

19
Q

Domain and range of quadratic

A

D- x=all real

R- y>(or equal to) 0

20
Q

Parent function of linear

A

F(x)=x

21
Q

Parent function of absolute value

A

F(x)=lxl

22
Q

Parent function of constant

A

F(x)=1

23
Q

Parent function of quadratic

A

F(x)=x(squared)

24
Q

Graph for constant

A

Straight line across

25
Q

Graph for linear

A

Diagonal straight line

26
Q

Graph for absolute value

A

V shape

27
Q

Graph for quadratic

A

Parabola

28
Q

For what family function do groupings not matter

A

Linear