Determine the vertex of the graph of the quadratic function $f ( x ) = x ^ { 2 } + 5$.
A) $( 0 , - 5 )$
B) $( 5,0 )$
C) $( 5,5 )$
D) $( 0,5 )$
E) $( - 5,0 )$

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 of the parabola. For the given function $f(x) = x^2 + 5$, it is already in a form close to the vertex form with $a = 1$, $h = 0$, and $k = 5$. Therefore, the vertex is $(0, 5)$.

Determine the Vertex of the Graph of the Quadratic Function f(x)=x2+5f ( x ) = x ^ { 2 } + 5f(x)=x2+5

Determine the Vertex of the Graph of the Quadratic Function $f ( x ) = x ^ { 2 } + 5$