Find the quadratic function y=ax^2 + bx + c whose graph passes through the given points. (-3,37), (2,-8), (-1,13)

The quadratic function is

Step-by-step explanation:

The quadratic function given is

and same quadratic function is passes through (-3,37), (2,-8), (-1,13)

Replacing points one by one

we get,

For (-3,37) :

= equation 1

For (2,-8) :

=  equation 2

For (-1,13)

= equation 3

Solving the linear equation to get values of a,b,c

Subtract equation 2 with equation 3

we get,

 = equation 4

Now, Subtract equation 1 with equation 2

we get,

 = equation 5

Now, Add equation 4 with equation 5

we get,

Replacing value of a in equation 5

Replacing value of a and b in equation 1

Thus,

The quadratic function

c

step-by-step explanation:

i think the answer is b