Answer:
Option 3 - (-1,3) and (-4,0)
Step-by-step explanation:
Given : The system of equations [tex]y=x^2+6x+8[/tex] and [tex]y=x+4[/tex]
To find : Use graphing to find the solutions to the system of equations.?
Solution :
Let the equation 1 -[tex]y=x^2+6x+8[/tex] is a quadratic equation.
Equation 2 -[tex]y=x+4[/tex] is a linear equation.
Plot these equation in the graphing tool,
Equation 1 [tex]y=x^2+6x+8[/tex] is shown by red line with vertex (-3,-1).
Equation 2 [tex]y=x+4[/tex] 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.
