exam Maths Puzzle Numerical Ability

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If the graph of y=2^x is transformed to y=3(2)^(-1/4x-1) +1, what are the coordinates of the new focal point????I think the answer is (-4,4) but I do not fully understand, I'd appr Graph the functions L(x)= -3x+17 and Q(x)=2x^2+7x-22 on the same set of axes.