What is the equation for nth term of arithmetic sequence
a = a + ( n - 1 ) d
In the arithmetic sequence what does a , n and d stand for
a is the first term
d is the difference
n is the position you want to find
What is equation for a perpendicular line
Y = -1/m (x) + c
For quadratic in equality’s if < is pointing towards equation is what is form of answer in
X < -7 ( sign faces smaller number ) .
x > 5 ( faces x as x larger)
If < is pointing two towards the left side or the 0 or side equation not on what form is answer in
-4 < x < -2
When solving the turning point of a quadratic for example
( x + 5 ) squared -1 what would this be
(-5 , -1 )
Since it is opposite of what is in brackets and same as outside
When solving a square and it’s equal to zero you
Put x on one side and everything else on the other
What do you do if solving square and it dos not state = to zero
You are just simplifying not finding x value
If a quadratic = to 0 you can
Find x value
When somthing says solve what is it telling you to do
Find value for x
When somthing says write in form of what is it telling you to do
Rewrite or simplify the expression
When solving equations rooting an equation can give both a positive and negative number so what symbol do we use
Plus or minus and there could be two potential answes
What is a bisector
Cuts somthing into two equal parts
What is a angle bisector
Line that cuts angle into two equal lengths
Perpendicular bisector
Cuts segment in half at 90 degrees
What does f mean in f(5)
Can letter be something not f
It means the value of function when x = 5
So put the 5 into function
The letter could be different for example g but it stands for same thing
What does solve : g (x) = 8 mean
If it says solve g ( x ) = 8 this mean function equal to 8 so this means we work backwards
What equations work for right angle triangles
SOH-CAH-TOA
Pythagorus
What triangle equations can you use on every triangle
Sine rule
Cosine rule
General area 1/2 an sin C
For transforming graph if -f(x) what do you do
Reflect vertically
Graph transformation for
Y = f(x-1)
We move onto right
what do you do if graph transformation y = f(-x)
Every x-value is replaced by its negative.
So the graph is flipped (mirrored) over the y-axis.
The shape stays the same, but left and right swap.
If f( x + 3 )
We take away 3 from x axis
Rearange cosine rule
Cos A = Bsquared + c squared -a squared
Al over 2 BC
