Find the Vertex of the Graph of the Quadratic Function $f ( x ) = x ^ { 2 } - 5 x + 1$

Multiple Choice

Find the vertex of the graph of the quadratic function. Find any intercepts and graph the function.
- $f ( x ) = x ^ { 2 } - 5 x + 1$

A) Vertex: $\left( - \frac { 5 } { 2 } , - 5 \frac { 1 } { 4 } \right)$ ;
$x$ -intercepts: $\left( \frac { - 5 \pm \sqrt { 21 } } { 2 } , 0 \right)$
$y$ -intercept: $( 0,1 )$


B) Vertex: $( 0,1 )$ ;
$x$ -intercepts: none;
$\mathrm { y }$ -intercept: $( 0,1 )$

C) Vertex: $\left( \frac { 5 } { 2 } , - 5 \frac { 1 } { 4 } \right)$ ;
$x$ -intercepts: $\left( \frac { 5 \pm \sqrt { 21 } } { 2 } , 0 \right)$
y-intercept: $( 0,1 )$

D) Vertex: $( 2 , - 9 )$ ;
$x$ -intercepts: $( - 1,0 )$ and $( 5,0 )$ ;
$y$ -intercept: $( 0 , - 5 )$