Quadratic functions

Given graphs of the functions \( f(x)=-x^2-x+6 \) and \( g(x)=x^2-4x+4 \), find the solution set of the following equation. \[ x^2-4x+4 = -x^2-x+6 \]

Given the graph of the function \( f(x)=2x^2-2x-4 \) and the points \( A \), \( B \), \( C \), \( D \), \( E \), find the solution set of the following equation. \[ 2x^2-2x-4=1 \]

Given graphs of the functions \( f(x)=2x^2-2x-4 \) and \( g(x)=2x+2 \), find the solution set of the following equation. \[ 2x^2-2x-4=2x+2 \]

Given graphs of the functions \( f(x)=x^2+2x-3\) and \( g(x)=-x^2+3x-4 \), find the solution set of the following inequality. \[ x^2+2x-3\leq-x^2+3x-4 \]