Create a system of equations based on the general equation
y = ax² + bx + c:
(5) = a(0)² + b(0) + c
(1) = a(2)² + b(2) + c
(17) = a(6)² + b(6) + c

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

y = x² − 4x + 5

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