Determine the vertex of the graph of the quadratic function $f ( x ) = x ^ { 2 } + 2$.
A) $( 0 , - 2 )$
B) $( 2,0 )$
C) $( 2,2 )$
D) $( 0,2 )$
E) $( - 2,0 )$

Question

Quizplus · Accepted Answer

The vertex form of a quadratic function is $f(x) = a(x - h)^2 + k$, where $(h, k)$ is the vertex. For $f(x) = x^2 + 2$, it's already in a form that shows the vertex as $(0, 2)$, since there's no $x$ term to shift the graph left or right, and the constant term $+2$ shifts it up.

Determine the Vertex of the Graph of the Quadratic Function f(x)=x2+2f ( x ) = x ^ { 2 } + 2f(x)=x2+2

Determine the Vertex of the Graph of the Quadratic Function $f ( x ) = x ^ { 2 } + 2$