Section 12 Higher Flashcards

1
Q

Complete the circle theorem: ‘a radius meets a tangent at…’

A

A right angle

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2
Q

Write down the coordinates of the minimum point of the graph y = (x+a)² + b

A

(-a, b)

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3
Q

What does collinear mean?

A

On the same straight line.

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4
Q

If there are x ways to do task 1 and y ways to do task 2, how many ways are there to do both tasks in sequence?

A

xy

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5
Q

The transformation y = f(x) + a represents a translation of the graph y = f(x) by what vector?

A

0
a
All in a big bracket

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6
Q

What’s the value of sin 30?

A

Half

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7
Q

How do we find the composite function fg(x)?

A

Substitute g(x) into f(x)

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8
Q

If two events are mutually exclusive what’s P(A∩B)?

A

0

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9
Q

The transformation y = f(-x) represents a reflection of the graph y = f(x) in which axis?

A

y axis

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10
Q

Complete the circle theorem: “The perpendicular from the centre of a circle to a chord….”

A

Bisects the chord

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11
Q

Sketch y = tan x for -90 ≤ x ≤ 270

A

The odd curvy one that reaches towards infinity and has a period of 180 degrees

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12
Q

In a histogram how do you work out frequency density?

A

frequency density = frequency / class width

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