Fill in the blank with one of the words or phrases listed below. $$\begin{array} { l l l l }
\text { quadratic formula } & \text { quadratic } & \text { discriminant } & \pm \sqrt { b } \
\text { completing the square } & \text { quadratic inequality } & ( h , k ) & ( 0 , k ) \
( h , 0 ) & \frac { - b } { 2 a } & &
\end{array}$$
-The graph of $x ^ { 2 } + k$ has vertex_______
A) $( h , k )$
B) $( h , 0 )$
C) $\pm \sqrt { b }$
D) $( 0 , k )$

Question

Fill in the blank with one of the words or phrases listed below. $$\begin{array} { l l l l } 
\text { quadratic formula } & \text { quadratic } & \text { discriminant } & \pm \sqrt { b } \
\text { completing the square } & \text { quadratic inequality } & ( h , k ) & ( 0 , k ) \
( h , 0 ) & \frac { - b } { 2 a } & &
\end{array}$$
-The graph of $x ^ { 2 } + k$ has vertex_______
A) $( h , k )$
B) $( h , 0 )$
C) $\pm \sqrt { b }$
D) $( 0 , k )$

Quizplus · Accepted Answer

The vertex form of a quadratic equation is $y = a(x - h)^2 + k$, where $(h, k)$ is the vertex of the parabola. For the given equation $x^2 + k$, the vertex is at $(0, k)$ because the equation can be rewritten as $y = (x - 0)^2 + k$, indicating that $h = 0$ and $k$ remains as it is.

Fill in the Blank with One of the Words or Phrases