Question

the vertex of the graph of quadratic function ( f(x) ) is located at point ( (-3, -1) ). where is the vertex of the graph of quadratic function ( f(x)+2 ) located at?
a ( (-5, -1) )
b ( (-3, 1) )
c ( (-3, -3) )
d ( (-1, -1) )

Explanation:

Step1: Identify vertex transformation rule

For $g(x)=f(x)+k$, vertex $(x_v,y_v)$ becomes $(x_v,y_v+k)$.

Step2: Apply k=2 to original vertex

Original vertex: $(-3,-1)$. New $y$-coordinate: $-1+2=1$.
New vertex: $(-3,1)$

Answer:

B. (-3,1)