Given:
The graph of f (in blue) is translated a whole number of units horizontally and vertically to obtain the graph of h (in red).
The function f(x) is as follows:
[tex]f(x)=-\frac{1}{2}x^2[/tex]
The vertex of the function (f) is the point (0, 0) while the vertex of the function (h) is the point (-4, -2)
So, the function (f) is translated 4 units left then 2 units down
The expression for the function h(x) will be as follows:
[tex]h(x)=-\frac{1}{2}(x+4)^2-2[/tex]
