Answer:
Option C - (0,1), (-5/2,6)
Step-by-step explanation:
Given : The system of equations [tex]y=2x^2+3x+1[/tex] and [tex]y=-2x+1[/tex]
To find : Solve the system by graphing ?
Solution :
Let the equation 1 - [tex]y=2x^2+3x+1[/tex] is a quadratic equation.
Equation 2 - [tex]y=-2x+1[/tex] is a linear equation.
Plot these equation in the graphing tool,
Equation 1 [tex]y=2x^2+3x+1[/tex] is shown by blue line with vertex (-0.75,-0.125).
Equation 2 [tex]y=-2x+1[/tex] 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.
