Answer:
Option 3
Step-by-step explanation:
To find : Which graph shows solving [tex]2x^2- 8x + 5 = -x^2 + 4[/tex] by graphing a system?
Solution :
We divide the system into two equations,
Equation 1 - [tex]y=2x^2- 8x + 5[/tex]
Equation 2 - [tex]y= -x^2 + 4[/tex]
Now we plot the two equations in graphing tool,
Equation 1 in red line making upward parabola.
Equation 2 in black line making downward parabola.
The intersection points of the curves are (0.131,3.983) and (2.535,-2.427).
Refer the attached figure below.
The image form is matched with option 3.
Therefore, Option 3 is correct showing the system.
