function f is given and the indicated transformation is applied to its graph write the equation for the final transformed graph
F(x)=x^2,shift upward 2 units
The transformation "shift upward 2 units" can be achieved by adding 2 to the original function, f(x).
Therefore, the equation for the final transformed graph is:
g(x) = f(x) + 2 = x^2 + 2
To shift the graph of the function f(x) = x^2 upward 2 units, we need to add 2 to the original function.
The equation for the final transformed graph, F(x), is F(x) = x^2 + 2.
To shift the graph of a function upward by a certain number of units, we need to add that number to the original function.
In this case, the original function is f(x) = x^2, and we want to shift it upward by 2 units.
So, to get the equation for the final transformed graph, we add 2 to the original function:
F(x) = f(x) + 2 = x^2 + 2
Therefore, the equation for the final transformed graph is F(x) = x^2 + 2.