Fill in the blank with one of the words or phrases listed below.

-The graph of $f ( x ) = x ^ { 2 } + k$ has vertexــــــــــــــــــــ
A) $( h , 0 )$
B) $\frac { - b } { 2 a }$
C) $( 0 , \mathrm { k } )$
D) $( h , k )$

Question

Fill in the blank with one of the words or phrases listed below.

-The graph of $f ( x ) = x ^ { 2 } + k$ has vertexــــــــــــــــــــ
A) $( h , 0 )$ 
B) $\frac { - b } { 2 a }$ 
C) $( 0 , \mathrm { k } )$ 
D) $( h , k )$

Quizplus · Accepted Answer

The vertex of a parabola in the form $f(x) = ax^2 + bx + c$ is given by the point $(-\frac{b}{2a}, f(-\frac{b}{2a}))$. For $f(x) = x^2 + k$, where $a = 1$, $b = 0$, and $c = k$, the vertex is at $(0, k)$, since $b = 0$ makes $-\frac{b}{2a} = 0$ and $f(0) = k$.

Fill in the Blank with One of the Words or Phrases