Create a system of equations based on the general equation
$y = ax^{2} + bx + c\\\left(5\right) = a\left(0\right)^{2} + b\left(0\right) + c\\\left(1\right) = a\left(2\right)^{2} + b\left(2\right) + c\\\left(17\right) = a\left(6\right)^{2} + b\left(6\right) + c$

Simplify and solve.
$5 = c\\1 = 4a + 2b + c\\17 = 36a + 6b + c$

$y = x^{2} − 4x + 5$

Convert the equation you found in part (a) into graphing form.