russaftercollege russaftercollege
  • 17-06-2021
  • Mathematics
contestada

The function f (x)= ax^2+bx+c, determine a,b and c knowing that the graph passes through the points (1,0), (0,)) and (-1,2).

Respuesta :

madethisfortwitch1
madethisfortwitch1 madethisfortwitch1
  • 17-06-2021

Answer:

a= 1

b= -1

c=0

equation looks like x²-x

Step-by-step explanation:

we have

ax²+bx+c

we know that when x=1 y=0 so plugging in 1 for x means

(doing this for the other points we get)...

a+b+c=0

c=0

a-b+c=2

Because we know c=0 we can write

a+b=0

a-b=2

Adding the two equations

2a=2

a=1

Knowing that a=1 we can easily solve for b

a+b=0

1+b=0

b= -1

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