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

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

Question

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

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

Quizplus · Accepted Answer

The vertex of a parabola in the form $f(x) = (x - h)^2$ is at the point $(h, 0)$, because this is the point where the parabola reaches its minimum value (if the coefficient of $(x - h)^2$ is positive) or its maximum value (if the coefficient is negative), and the y-coordinate is 0 when $x = h$.

Fill in the Blank with One of the Words or Phrases