Identify the function family to which f belongs. Then compare the graph of f to the graph of its parent function

f (x) = - 2x^2 + 3

The quadratic function family; the parent function has a vertex at (0,0) while the new function is shifted up 3 and is skinnier than the parent function, it's parabola concaves down.

Step-by-step explanation:

Because it has x^2 in it which means it is a quadratic; a parent function is the original graph so the new function of f (x) = - 2x^2+3 is negative, skinnier, and the vertex is shifted up 3 spaces.