Which Graph correctly solves the equation below? -1/2x^2 +2 = 2x^2 -8

see attachment

Step-by-step explanation:

The given equation is

The graph of the left hand side of this equation is

This quadratic graph has its vertex at (0,2) and turns upside down.

The right hand side of the equation is

This quadratic graph opens upwards and has its vertex at (0,-8).

The two graphs intersects at two points , which are (-2,0) and (2,0).

assuming this is from a math graphing problem.

7 would be on the x-axis which is the horizontal line on the graph

84 would be on the y-axis which is the vertical line on the graph