Summary Equation Flashcards for Pure Mathematics AS-Level (Pearson Edexcel)

FUNCTIONS 1/af(x) → stretch of sf 1/a in y 1
Positive m −𝑏 ± √𝑏2 − 4𝑎𝑐 Area: 𝐴 = 2 𝑟2𝜃
f(x) + a → up axis Negative w 𝑥=
2𝑎 Arc length: l = 𝑟𝜃
f(x) – a → down f(ax) → stretch of sf 1/a in x axis 1
f(x+a) → left f(1/ax) → stretch of sf a in x axis Segment: 𝐴 = 2 𝑟2(𝜃 − sin 𝜃)
Negative 𝑎2 + 𝑏2 = 𝑐 2
f(x-a) → right -f(x) → reflection in x axis Positive
af(x) → stretch in y axis f(-x) → reflection in y axis b2 = 4ac

CUMULATIVE FREQUENCY SD FREQUENCY TABLE CODING MEDIAN FOR DISCRETE IQ Q3 – Q1 = IQ
y=x–a DATA
Lower bond + n.o into category 𝑦̅ = 𝑥̅ – a PERCENTILE
n.o in category b b n+1
X class width 2 P – LB = UB – LB
𝜎y = 𝜎x a – Lf Uf - Lf
b
RECIPROCAL GRAPHS CUBIC QUARTIC GRAPHS TRIG
GRAPHS
-
Sin2𝜃 + cos2𝜃 = 1
Tan 𝜃 = sin 𝜃
+
cos 𝜃
+
+




PROBIBILITY
P (A U B) = P(A) + P(B) – P(A ∩ B)
P(A ∩ B) = P(B) + P(A) – P(A U B)
P(A ∩ B’) = P(A) – P(A ∩ B)
P(A’ ∩ B) = P(B) – P(A ∩ B)