exam Maths Puzzle Numerical Ability

what is the equation for finding the vertex to y=(1/4)(x^2-2x+5)

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exam Other Question

Divide and proof my answer 5 17/20÷ 2 1/4 Solve e^(8-9x)=8 in the form a ln 8 + b. We are looking for the coefficients a and b.

I am not understanding the form they are asking for. I have come up with x=ln8-8lne/-9lne