exam Maths Puzzle Numerical Ability

Scetch the graph of the quad function. Give the vertex and axis of symmetry.
f(x)=x2-2x-8

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exam Other Question

One leg of a right triangle is 2 inches smaller than the hypotenuse. The other leg is 5 inches long. What are the lengths of the unknown leg and hypotenuse?

Not sure if I set it up right.

(x+2)^2 + 5^2 = x^2
identify conic, center, vertices, foci, and directrixz:
x^2-8x-8y=8=0