Question

Which graph shows solving 2x2 - 8x + 5 = -x2 + 4 by graphing a system?

Answer 1

The answer is C

Explanation:

Answer 2

Option 3

Explanation:

To find : Which graph shows solving
`2x^2- 8x + 5 = -x^2 + 4` by graphing a system?

Solution :

We divide the system into two equations,

Equation 1 -
`y=2x^2- 8x + 5`

Equation 2 -
`y= -x^2 + 4`

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.