Core 1 Flashcards

1
Q

How do you find the intersection of 2 lines?

A

Using simultaneous equations

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2
Q

What happens if y2-y1=0?

A

Horizontal line, so y=…

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3
Q

What happens if x2-x1=0?

A

Vertical line, so x=

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4
Q

What’s the order of a polynomial?

A

The biggest power in the expression

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5
Q

How do you know if a polynomial has an odd or an even function?

A

Look at the order, if it’s odd then odd, if it’s even then even

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6
Q

In an odd function, f(a)=…

A

-f(a)

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7
Q

In an even function, f(a)=…

A

f(-a)

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8
Q

When multiplying functions, which way do you work from?

A

Right to left

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9
Q

What’s general form?

A

y=a(x-b)(x-c)

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10
Q

Turning point or vertex of y=(x-a)^2+b

A

(a,b)

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11
Q

Line of symmetry of y=(x-a)^2+b

A

x=a

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12
Q

How many solutions?

Discriminant > 0

A

2 real solutions

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13
Q

How many solutions?

Discriminant < 0

A

0 real solutions

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14
Q

How many solutions?

Discriminant = 0

A

1 real solution

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15
Q

When can you transform an equation into a quadratic?

A

When the larger power is double the smaller power

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16
Q

When does an equality sign flip?

A

When you multiply or divide by a negative

17
Q

What does differentiation tell you?

A

Rate of change

18
Q

What’s the normal perpendicular to?

A

The tangent

19
Q

What’s the gradient at a maximum and minimum point?

20
Q

What does the second derivative tell you?

A

Rate of change of the gradient

21
Q

What type of stationary point is this?

Second derivative > 0

A

Minimum point

22
Q

What type of stationary point is this?

Second derivative < 0

A

Maximum point

23
Q

What type of stationary point is this?

Second derivative = 0

A

Probably point of inflection, need to use table method to check

24
Q

Equation of a circle

A

(x-a)^2 + (y-b)^2 = r^2

25
What angle does a tangent meet a radius at?
Right angle
26
If a radius bisects a chord then they are...
Perpendicular
27
What's the angle in a semi circle?
Right angle
28
What transformation is this? | y=f(x)+k
Translation of k in the y direction
29
What transformation is this? | y=f(x+k)
Translation of -k in the x direction
30
What transformation is this? | y=kf(x)
Stretch factor k in the y direction
31
What transformation is this? | y=f(kx)
Stretch factor 1/k in the x direction
32
What transformation is this? | y=-f(x)
Reflection in the x axis
33
What transformation is this? | y=f(-x)
Reflection in the y axis