Use a system of linear equations to find the quadratic function
f(x) = ax2 + bx + c
that satisfies the given conditions. solve the system using matrices.
f(−2) = −11, f(1) = −5, f(2) = −23

Step-by-step explanation:

Let be the quadratic function.

implies that

Similarly,

and

From equation 2,

Put (4) into (1) to get:

Put (4) in (3) to get:

Subtract (6) from (5) to get:

Put b=-3 in (4) to get:

a=--3-5=-2

Put b=-3 in to (6) to get:

-2(-3)+c=-3

6+c=-3

c=-6+-3=-9

Therefore the required equation is

4.

step-by-step explanation:

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