DESPERATELY NEED HELP
find real numbers a,b, and c so that the graph of the function y=ax^2+bx+c contains the points (1,2),(-2,7), and (0,3)

Question

DESPERATELY NEED HELP
find real numbers a,b, and c so that the graph of the function y=ax^2+bx+c contains the points (1,2),(-2,7), and (0,3)

campbell_st · Answer

well substitute the points

(1, 2)
$$2 = a + b + c$$

(-2, 7)

$$7 = 4a -2b + c$$

(0,3)

this is handy 

3 = c

substitute the last equation into the other 2 and you will have 2 equations in 2 unknowns.. to solve simultaneously

hope this helps.

anonymous · Answer

Well, one direct way would be to form three equations (in a,b and c) using given points and solve them ... Another way would take some time :-)