Question

Use graphing to find the solutions to the system of equations.

y=x^2+6x+8
y=x+4

(-4,0) (-1,-3)
(-3,0) (-2,1)
(-4,0) (-1,3)
(-3,0) (-2,-1)

Answer 1

i think its (-4,0)(-1,3)

Answer 2

Option 3 - (-1,3) and (-4,0)

Explanation:

Given : The system of equations
`y=x^2+6x+8` and
`y=x+4`

To find : Use graphing to find the solutions to the system of equations.?

Solution :

Let the equation 1 -
`y=x^2+6x+8` is a quadratic equation.

Equation 2 -
`y=x+4` is a linear equation.

Plot these equation in the graphing tool,

Equation 1
`y=x^2+6x+8` is shown by red line with vertex (-3,-1).

Equation 2
`y=x+4` is shown by blue line passing through (0,4) and (-4,0).

The intersection point of the equations is the solution of the system i.e. (-1,3) and (-4,0).

Refer the attached figure below.

Therefore, Option 3 is correct.