graphs Flashcards

(17 cards)

1
Q

linear y=x

A
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2
Q

quadratic y=x²

A
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2
Q

cubic y=x³

A
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3
Q

negative linear y=-x

A
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3
Q

reciprocal y=1/x

A
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3
Q

quadratic y=-x²

A
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3
Q

cubic y=-x³

A
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4
Q

fx

A

function of x

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5
Q

-f(x)

A

reflection on the x-axis

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6
Q

f(-x)

A

reflection in the y-axis

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7
Q

f(x-a)

A

is a translation on the x axis, a units

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8
Q

f(x)+b

A

translation on the y axis, b units

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9
Q

cf(x)

A

an enlargement in the y-axis scale factor c

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10
Q

f(dx)

A

x-axis scale factor of 1/d

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11
Q

How do you solve a double inequality like 3 < 2x + 1 ≤ 7?

A

Solve both sides separately

Keep inequality signs facing same way

Final answer: range form (e.g. 1 < x ≤ 3)

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13
Q

Vectors in Geometry

A

To prove lines are parallel, show vectors are scalar multiples.

To prove midpoints, show two segments are equal using vectors.

To prove collinearity, show all points lie on the same straight line (same direction vector or multiples).