exam Maths Puzzle Numerical Ability

Generate a graph for the following function g(x)=-4x^2 + 16x-19
Find the vertex and x and y intercepts for the graph, show all work

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Can you please help me with this. Can you please explain this step by step so i can understand it.

The heights of 18 year old men are approximately normally distributed, with
Graph each of the following quadratic equations after completing the given table of values.
y=-x^2- 2

x y
-2
-1
0
1
2