Notesale: Turn your study into money

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1
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𝟏𝟎𝟎

What a decreasing
exponential graph
looks like
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If a question regards a percentage error, both add and subtract the error from the value
given, so that the full range of possibilities can be found
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You cannot say that something has been an 'all time rounder' if you have only been given
the data for a certain amount of years, on the issue
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The formula for a vertical axis of symmetry is 𝒙 =

𝒃
𝟐𝒂


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like this

not this

or this

or this

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6
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7
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8
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9
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In such a case, the
graph bounces off the x-axis, that is, either remains in the territory of positive y or negative y
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0 is an integer
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When you get 0 = 0 in an equation, it means that there are an infinite number of solutions
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To figure out the number of solutions regarding two equations, check whether they are
parallel or if they are the same line, in advance, so that you can tell if they have no solutions
without having to waste time in trying to solve them
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13
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e
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both side have been multiplied by 0
ii
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The formula for a circle with radius r and center (h,k) is (𝒙 − 𝒉)𝟐 + (𝒚 − 𝒌)𝟐 = 𝒓𝟐
15
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e those that include = √−𝟏 ) add in the value of i in any place
where 𝑖 is present so that the equation is simplified
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16
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17
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18
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i
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ii
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19
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This means infinity
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When the distribution is symmetrical, the mean and the median are equal
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A theorem states that because C′ and A′ are midpoints of the triangle, line segment C′A′ is
exactly half the length of line segment AC
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22· When h(x)→h(−x), the graph reflects across the y-axis
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Similarly, to shift function f to the left 4
units, f(x3)→f(x+4)3
And to move to the right replace the - sign with the + sign
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· sin (90) = 1
sin (30) = 1/2
sin (45) = (√2)/2
sin (60) =(√3)/2
sin (120) =(√3)/2
sin (135) =(√2)/2
sin (30) = 1/2

sin (180) = 0
· cos (0) = 1
cos (30) =(√3)/2
cos (45) =(√2)/2
cos (60) = 1/2
cos (90) = 0
cos (120) = -1/2
cos (135) = -(√2)/2
cos (150) = -(√3)/2
cos (180) = 1
cos (0) = 1
25
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asin(bx+c) + d or acos(bx+c) + d
Where, a = amplitude, b = period, c = horizontal displacement and d = vertical displacement



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