1. For the graph of \( y = - 27 ( x - 28 ) ^ { 2 } - 30 \) , what is the vertex?

2. Find the solution set of the following inequality in interval notation \( x ^ { 2 } + 5 x + 4 \leq 0 \) 

3. The quadratic function \( S ( t ) = - 16 t ^ { 2 } + 35 t + 12 \) models an object's height above the ground, \( S ( t ) \) , in feet, \( t \) seconds after it has been thrown upwards. After how many seconds does the object reach its maximum height? Round the answer to the nearest hundredths. Don't forget units. 

4. \( x \) varies inversely as \( v , \) and \( x = 72 \) when \( v = 4 \) . Find \( x \) when \( v = 32 \) .