Solution
1.
We need to write y = x^2 -2x - 5 in vertex so as to be able to determine the vertex and the axis of symmetry.
To do that, we need to write in the form y = a(x - h)^2 + k -----(1)
Comparing equation (2) with equation (1)
here a = 1, h = 1, k = -6.
Therefore, the vertex is: (1, -6)
The axis of symmetry is: x = h
Therefore, the axis of symmetry is x = 1.
Question 2)
The height function is given as;
To find out how long Jason will hit the water, we need to set H(t) = 0;
since negative time is not lucid, t = 2 is cogent.
Therefore, it will take 2 seconds for Jason to hit the water.