Core 1 Flashcards
0
Q
TWO DISTINCT ROOTS
A
b² - 4ac > 0
1
Q
REAL ROOTS
A
b² - 4ac ≥ 0
2
Q
EQUAL/REPEATED ROOTS
A
b² - 4ac = 0
3
Q
INCREASING
A
dy
__ > 0
dx
4
Q
DECREASING
A
dy
__ < 0
dx
5
Q
STATIONARY POINT
A
dy
__ = 0
dx
6
Q
MAXIMUM
A
d²y
___ < 0
dx²
7
Q
MINIMUM
A
d²y
___ > 0
dx²
8
Q
RATE OF CHANGE
A
dx
__
dt
9
Q
GRADIENT OF A STRAIGHT LINE
A
y₂ - y₁
_____
x₂ - x₁
10
Q
MID-POINT
A
( x₁ + x₂ , y₁ + y₂ )
_____ _____
2 2
11
Q
EQUATION OF A STRAIGHT LINE
A
y - y₁ = m(x - x₁)
12
Q
EQUATION OF A CIRCLE
A
(x + a)² + (y - b)² = r²
centre (a, b) and radius r
13
Q
EQUATION OF A STRAIGHT LINE
A
y = mx + c
14
Q
(x + 2)² -3
A
Vertex: (-2, -3)
Transformation: Translation (-2)
(-3)
Line of Symmetry: x = -2
Minimum: -3
X-coordinate of minimum: -2
