[question]cuadratic funcionts

[gh0st]

they ask me to graphic


h(x)=x^2-4x+4


so the roots are the same (x-2)^2
x=2 twice


so my answer would be http://www.dabbleboard.com/draw?b=Guest1181936&i=3&c=49394cdfefc1e647c798c069e8ad72029ce7bae7


is it correct? 

[s3my0n]

It would be this: http://www.dabbleboard.com/draw?b=Guest1181936&i=3&c=49394cdfefc1e647c798c069e8ad72029ce7bae7

Sorry edited your thing x]

x-2 = 0 and x-2 = 0 therefore x=2

[gh0st]

hey and this one?
http://www.dabbleboard.com/draw?b=Guest1181936&i=3&c=49394cdfefc1e647c798c069e8ad72029ce7bae7
this time create a new board so i can compare it plz

[s3my0n]

Here: http://www.dabbleboard.com/draw?b=Guest1181943&i=0&c=2d0ec73aa0e2e258a9ebaa489f0ca3729339e80e

[gh0st]

hey thanks +1

[gh0st]

hey  dude but in

h(x)= x^2-4x+4

isnt the answer like this?:

http://www.dabbleboard.com/draw?b=Guest1181936&i=0&c=e3a384ec65dd8ae82173aaff291709153279e961

[p_2001]

hey  dude but in

h(x)= x^2-4x+4

isnt the answer like this?:

http://www.dabbleboard.com/draw?b=Guest1181936&i=0&c=e3a384ec65dd8ae82173aaff291709153279e961

yours was wrong...

I am really sorry, it was my first time using the site and I edited yours... 
anyways mine is mostly correct (ignoring the irregular shape, the general idea can be seen )

though I am not sure whether this topic is a troll or not

[gh0st]

f:P nah just kidding no Im not trolling is it easy isnt? Im just a bit confused

[p_2001]

http://www.dabbleboard.com/draw?b=Guest1181936&i=0&c=e3a384ec65dd8ae82173aaff291709153279e961

then the graph is what I've drawn, by editing yours ( the general idea...)

looking at the equation.. the degree of equation is 2.. that is the equation is bound to have 2 roots.

now.. when x=2 the equation = 0; that means that 2 is a root... and the equation is (x-2)^2 that is there are two roots both x=2,2 and while they are two roots they are not distinct.

the shape of a quadratic is always a parabola..

the nature of roots can be found by finding sqrt(b^2 - 4ac) of a quadratic equation of form
ax^2 + bx +c = 0.

also the direction of the curve can be identified by the sign of coefficient of x^2..

since it is the highest power of x.. it is bound to decide the direction of the curve..