Use your graphing shortcuts to graph $f\left(x\right)=x^2-6x+5$.  

1. What is the vertex?

   Hint 1(a):

   The vertex is exactly halfway between the two $x$-intercepts because a parabola's line of symmetry is on the vertex.

   Hint 2(a):

   At the vertex, the $x$-coordinate is $3$. Substitute $3$ into the equation to solve for $y$ and find the coordinates of the vertex.

   Hint 3(a):

   Plot the point you found and sketch the parabola.

   

2. Describe the domain and range of this relation.

   Hint 1(b):

   What is the domain of this graph, that is, what are the possible $x$-values?

   Hint 2(b):

   What is the range, or possible $y$-values, of this graph?

   Answer (b):

   D: all real numbers R: $y ≥ −4$