Half Term 1 Flashcards

1
Q

y - y1 = ?

A

m(x - x1)

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2
Q

What does a negative power mean?

A

The reciprocal

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3
Q

What does a fraction exponential mean?

A

A square root

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4
Q

What do you get when you multiply two inversely proportional fractions together?

A

You get -1

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5
Q

What happens when both sides of an exponential equation have the same base?

A

Their powers are equal

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6
Q

T/F: Directly proportional graphs pass through the origin

A

True

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7
Q

How is the discriminant related to the roots of an equation?

A

If the discriminant = 0, there is one repeated root
If the discriminant < 0, there are no real roots
If the discriminant > 0, there are two roots

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8
Q

What does f(x + a) mean?

A

A horizontal translation of -a

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9
Q

What does f(x - a) mean?

A

A horizontal translation of +a

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10
Q

What does f(ax) mean?

A

A horizontal stretch of 1/a, you multiply all x values by 1/a

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11
Q

What does af(x) mean?

A

A vertical stretch of a, this means you multiply all y values by a

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12
Q

What is f(-x)?

A

A reflection in the y-axis

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13
Q

What is -f(x)?

A

A reflection in the x-axis

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14
Q

T/F: A quadratic can only have one root

A

False: A quadratic can only have two roots or one repeated root

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15
Q

What is a root?

A

Where the line crosses the x-axis

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16
Q

What do you need to include when you square root a value?

A

You must include a +- before the solution

17
Q

What is the dividend?

A

The number you are dividing by

18
Q

What is the divisor?

A

The number you are dividing

19
Q

What is the quotient?

A

The whole answer from a division

20
Q

What is the remainder?

A

The number left over from the quotient of a division

21
Q

How do you use the factor theorem?

A

When (x - a) is a factor of an equation subbing +a into the equation will make the equation equal to 0

22
Q

What does this set notation mean? {x: x > 1}

A

x is such that it is always greater than 1