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SHIFTS+ STRETCHES ON GRAPHS · y =kf(x) >1 squeeze <1 squash · y = fx + a moves a along yaxis • y = f(x+a) moves - a alo • y = f(xx) = muiripiyer scrunches - divider spreads out. TYPES OF GRAPHS y X y=x -x "I * y=-x y=x² y x y=-x² & BPOWERS y=x³ average of parallel sides X L₁A = 1½/₂2 (a+b) n x y=-x³=y=== ха ххь = хать - (ха)ь = халь ха - хо- хать NTH TERM (Common) nth term=dn +(a-a) y y ==== distance between them a=1st term de common dipeerence BIDMAS brackets, indices, clivision, multiplication, addition, subtraction TRAPEZIUN RULE 3² * 40 y NTH TERM nth = a +(n-1) α + ½/2² (n-1)(n-2) ( where c is change between One difference and the next. LOCI ÿ=K² y % CHANGE= % PROFIT = x 100- profit original TRIG VALUES 30° 45 60 40° sin 1/2 1/2 √3/21 COS √3/2 1/2 ½/2 tan 3 A 40 y=k+2 SIMPLE INTREST N= N₂ + No (100 xn) n = examount no=original 0 amount x FORMULA S₂ 0 √3 NA cose D LLOCUS REPEATED % CHANGE SURDS √b N=No(1+100) R = rate N=no oe 160 2/20 360 Change original и sino fixed distance from a point √b² = √axb = √√a=b (a+√b²)² = (a + √b²)(a+√b²) Ca²+29√√√5 +b MIDPOINT OF LINE - average of x- co-ordinats - average of y co-ordinates FORMULA OF STRACT LINE Le compounctress y=mx+c 4 gradient y intercept GRADIENT OF A LINE R 2 not possible X 100 L Locus 1 Volume= H ( 33 TLX R² X H) (²x) ( day lyrs " equal distance fromz Lines angel di sector ✓ DIAMETER RADIUS TANGENI Rodius chord - ISO CELESO disector diameter CIRCLE GEOMETRY atbic opposite angels in a cyclic qua- dritaleral add. up to 180° THEOREMS Tength OF TWO tangents to a point are equal 919 angies in same segment are equay b=16 atbrc = 180° arote= 180° atbtctd= 360 atbtc= 360° ed. TANGENT b=b a=9 SOH CAH TOA a=a A SIN OPP нур COSAOT HYP TAN-OPP ADJ SINE+ COSINE any other A C a sin A b a SINE RULE: - TRIANGLES ONLY RIGHT- ANGLED O b =f sinB sinc QUADRATIC FORMULA x=-b√√√b²-4ac 2ac Lo for ²+bx+c Circle = Tr ath-180 sector = 9 360 Cuma LATIVE FRED GRAPHS, MEDIAN Find half way up then. read off bottom axis POLY CONS ex+ angles...

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