exam Maths Puzzle Numerical Ability

what quadractic function represents a porabola whose vertex is at (6,1) and passes through (4,9)

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exam Other Question

If f(x)=2x^2 -7x+3 find

Part A f(2)


Part B f(-3)

I have tried to solve this by plugging the 2 in for x and for part A came up with -3 and for part B came up with 42. am I doing this correctly
parallelogram PQRS has PQ = 8 cm. QR = 9 cm. and diagonal QS = 10 cm. mark F on RS exactly 5 cm away from S. let T be the intersection of PF and QS. find the lengths TS and TQ.