exam Maths Puzzle Numerical Ability

Please help I'm struggling with this. Thanks!

Given this equation, is the vertex (2,5); axis of Sym X= -1;
and y - intercept (0,5)?

y=(-X^2+4X+5)

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exam Other Question

300 pennies are tossed into the air. Determine the probability of:

1) P(125 is less than or = X less than or = 170 tails)

2) If your co worker is willing to wager 10.00 on this, should I take the wager and why?
In the exercise, two equivelent systems of linear are given. Find the values of A and B. 2x+y=6,3x-2y=2 and x+By=-4,Ax+3y=10