A 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 y=
The transformation "shift upward 2 units" can be achieved by simply adding 2 to the function. Thus, the equation for the final transformed graph is y = x^2 + 2.
To shift the graph of the function f(x) = x^2 upward by 2 units, we can add 2 to the original function.
Therefore, the equation for the final transformed graph is:
F(x) = x^2 + 2.
To shift a function upward, you need to add a constant to the equation. In this case, the original function is f(x) = x^2, and we want to shift it upward 2 units.
To achieve the shift, we need to add 2 to the function. This can be done by modifying the equation as follows:
f(x) + 2 = x^2 + 2
Therefore, the equation for the final transformed graph, after applying the upward shift of 2 units, is:
y = x^2 + 2