exam Maths Puzzle Numerical Ability

directly from the work book:

Sketch the graph of the function. Label the vertex.

y = x(squared) + 2x + 1

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exam Other Question

Triangle PQR has vertices P(asqrt3,bsqrt3), Q(a/2sqrt3,3bsqrt3), R(0,5bsqrt3).
Prove triangle PQR is isosceles. A triangle has sides 2x - 5, 3x + 1, and 4x + 2. Find the polynomial that represents its perimeter.