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|dw:1444365550534:dw|

suggest substitute the values for (x,y) and solve the simultaneous equations to get a,b,c

Can you explain how to do this

substitute means replace now read my response again.

I understand that but once i replace 1=a(-2)^2+b(-2)+c what do i do from there

for each set

do you know how to solve simultaneous equations? there are about 4 methods

no i dont

ok I will work with you
what are the 3 equations?

this is even simplier than i thought
do you see C = 5?

i guess

no! if you have questions make sure you ask. it is very important for you to understand.

what are the equations when you substitute the x and y values given?

doesnt f(x) mean y?

yes

function of x

so you make 3 equations and plug 1 x in for each?

|dw:1444366987783:dw|

y = f(x) = ax^2 + bx + c

you did the first one correctly when x = -2
do the same process when x = 0 and again when x - 4

ok so what do i do now that i have the 3 equations

show what you have did you get C = 5?

i dont understand how u got c=5

did you do the substitutions?

yes i got 5=a(0)^2+b(0)+c

|dw:1444367515071:dw|

remember zero times anything is zero

show the 3rd one.

-59=a(4)^2+b(4)+c

and we can replace C with 5

also for the first one C = 5

|dw:1444367836458:dw|

|dw:1444368031994:dw|

what happened to -59?

|dw:1444368144737:dw|

|dw:1444368245388:dw|

always factor when you can to use smaller numbers .

now that we have a,b and c we can write the general equation for f(x)

i think i got it from here thank you

yeah we are at the end you only have to write the equation.

my question is do you clearly understand all what I did?

Yes i do

great!!
review and keep practicing
math is very easy with practice.