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

Graph the function. Identify the vertex, x-intercepts, and the equation for the axis of symmetry.
- $f ( x ) = x ^ { 2 } - 5 x + 1$

A)

vertex: $\left( \frac { 5 } { 2 } , - 5 \frac { 1 } { 4 } \right)$
$x$ -intercepts: $\left( \frac { 5 \pm \sqrt { 21 } } { 2 } , 0 \right)$
axis of symmetry: $x = \frac { 5 } { 2 }$
B)

vertex: $( 0,1 )$
$\mathrm { x }$ -intercepts: none
axis of symmetry: $x = 0$
C)

vertex: $( 2 , - 9 )$
$x$ -intercepts: $( - 1,0 )$ and $( 5,0 )$
axis of symmetry: $\mathrm { x } = 2$
D)

vertex: $\left( - \frac { 5 } { 2 } , - 5 \frac { 1 } { 4 } \right)$
x-intercepts: $\left( \frac { - 5 \pm \sqrt { 21 } } { 2 } , 0 \right)$
axis of symmetry: $x = - \frac { 5 } { 2 }$