exam Maths Puzzle Numerical Ability

identify the graph x+3y>1

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exam Other Question

I need help finding the vertex of the parabola. And then must sketch the graph.

The problem is: y=-x^2+2x-6

I am assuming the ^ means sq? I have tried to do y=(x-h)^2+k bu {{{For what values of x and n are x^1/m and n square root of x equal?}}}