Question

Solve the system by graphing. y=2x^2+3x+1 y=-2x+1

A. (1,3), (4,7)
B. (1,3), (1/2,3)
C. (0,1), (-5/2,6)
D. (-5,5), (4,-2)

Answer 1

It is C. (0, 1), (-5/2, 6)

These are the points where the two graphs interject one another.

You can just plug these graphs into desmos. C: Have a nice night/day.

Answer 2

Option C - (0,1), (-5/2,6)

Explanation:

Given : The system of equations
`y=2x^2+3x+1` and
`y=-2x+1`

To find : Solve the system by graphing ?

Solution :

Let the equation 1 -
`y=2x^2+3x+1` is a quadratic equation.

Equation 2 -
`y=-2x+1` is a linear equation.

Plot these equation in the graphing tool,

Equation 1
`y=2x^2+3x+1` is shown by blue line with vertex (-0.75,-0.125).

Equation 2
`y=-2x+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.