Question

the graph of a quadratic function passes through the points (0,1), (-1,3), and (-2,1). the function is f(x)=?

Answer 1

Answer:

y=-2x^2-4x+1      :)

Step-by-step explanation:

Answer 2

If you graph the three given points, you can see that the vertex (h,k) is (-1,3).

Equation of a quadratic function is: y = a(x - h)² + k
Plug in the vertex and one of the points (I chose (0,1)) and solve for "a".
1 = a(0 + 1)² + 3
-2 = a

Answer: f(x) = -2(x +1)² + 3