Answer:
Option C - (0,1), (-5/2,6)
Step-by-step explanation:
Given : The system of equations  and
 and 
To find : Solve the system by graphing ?
Solution :
Let the equation 1 -  is a quadratic equation.
  is a quadratic equation.
Equation 2 -  is a linear equation.
 is a linear equation.
Plot these equation in the graphing tool,
Equation 1  is shown by blue line with vertex (-0.75,-0.125).
  is shown by blue line with vertex (-0.75,-0.125).
Equation 2   is shown by green line passing through (0.5,0) and (0,1).
  is shown by green line passing through (0.5,0) and (0,1).
The intersection point of the equations is the solution of the system i.e. (-2.5,6) and (0,1).
The solution is (0,1), (-5/2,6).
Refer the attached figure below.
Therefore, Option C is correct.