Quadratic function + Coordinate Geometry - Straight Line (1 Viewer)

[Leosec]

hey hey everyone
im having big trouble wif QF + CG straight line

does any hav a summary formulas or any summaries for these 2 topics?

if u do
plz post it here , coz im havin alot of trouble
my class has finish it ... i was in hospital for an injury so didnt get to learn it ><
or upload it
thx thx

 

[haboozin]

hey hey everyone
im having big trouble wif QF + CG straight line

does any hav a summary formulas or any summaries for these 2 topics?

if u do
plz post it here , coz im havin alot of trouble
my class has finish it ... i was in hospital for an injury so didnt get to learn it ><
or upload it
thx thx

what's QF and CG?

 

[acmilan]

Quadratic function & coordinate geometry

 

[jessied]

heres some CG formulas off the top of my head.. feel free to correct me if they're wrong.. they're usually in your text book and study guides

gradient is y2-y1/x2-x1

point gradient formula y-y1=m(x-x1) where m is the gradient

two-point formula y-y1=y2-y1/x2-x1(x-x1)

midpoint x = ((x2+x1)/2) y = ((y2+y1)/2)

distance = the square root of (y2-y1)^2 + (x2-x1)^2

perpendicular distance |(ax1+by1+c)/square root of (a^2+b^2)| where (x1, y1) is the given point and a,b & c are from the given equation

for quadratics the discriminant b^2-4ac determines the nature of the roots

hope they're right and hope they help

 

[switchblade87]

Qf

Mustn't forget the quadratic formula:

-b±sqrt of b²-4ac / 2a

Also:

Axis of symmetry: x = -b / 2a (for y = ax² + bx + c)

Quadratic Identities: If a1x² + b1x + c1 is equivalent to a2x² + b2x + c2 for all real x, then a1 = a2, b1 = b2, c1= c2.

Sum of roots: general equation x² - (alpha + beta)x + alpha * beta = 0
alpha + beta = -b / a
alpha * beta = c / a
alpha² + beta² = (alpha + beta)² - 2 * alpha * beta
= (-b / a)² - 2(c / a)

That's for quadratic formula.