Determine the Quadratic Function Whose Graph Is Given $( - 1,4 )$

Multiple Choice

Determine the quadratic function whose graph is given.
- Vertex: $( - 1,4 )$
$y$ -intercept: $( 0,3 )$

A) $f ( x ) = - x ^ { 2 } - 4 x + 3$
B) $f ( x ) = - x ^ { 2 } - 2 x - 3$
C) $f ( x ) = - x ^ { 2 } - 2 x + 3$
D) $f ( x ) = x ^ { 2 } - 4 x + 3$