exam Maths Puzzle Numerical Ability

The graph of f(x)=2(x-1)^2+3 has the following characteristic?

a) vertex: (1,3) and opens downward
b) vertex: (1,3) and doesn't cross the x axis
c) vertex: (1,3) and has two y

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exam Other Question

In a right triangle, the length of the longer side is two more than twice the length of the shorter leg. The length of the hypotenuse is 8 more than the length of the shorter leg. Find the lengths of the sides of the triangle. A circle centered at the point of origin has a radius of 10. If the point (10,0) is rotated 120 degrees counter-clockwise, determine the coordinates of the new point in exact radical form.