Core 1- Facts Flashcards
1
Q
Reflection in x axis
A
Y=-f(x)
2
Q
Reflection in y axis
A
y=f(-x)
3
Q
If in backet (change in the constant) it is a change in the
A
X-axis
4
Q
If out of bracket (done to function) it is a change in the
A
Y-axis
5
Q
Y=f(x)+k
A
Translation of k units in the y direction
6
Q
y=f(x+k)
A
Translation of -x units in the x direction
7
Q
y=kf(x)
A
Stretch factor k in y direction
8
Q
y=f(kx)
A
Stretch factor 1/k in the x direction
9
Q
3 properties of a circle
A
- Tangent is perpendicular to radius
- Radius disects a chord at a right angle
- Angle in a semi circle is a right angle
10
Q
Equation of a circle
A
r^2 = (x-a)^2 + (y-b)^2
11
Q
A^n/m
A
Root m
Power n
(m√a)^n
12
Q
Equation of a line
A
y-y1=m(x-x1)
13
Q
Gradient of a line
A
(y-y1)/(x-X1)
14
Q
Find the midpoint of a line
A
( (x+x1)/2 , (y-y1)/2 )
15
Q
Find the length of a line
A
√(x-x2)^2 + (y-y1)^2
16
Q
Discriminant
A
b^2 - 4 x a x c
17
Q
Find maximum
A
d2y / dx2 < 0
18
Q
Find minimum
A
d2y / dx2 > 0
