Question

suppose that the quadratic function f (x) = 1/2 (x - 3 )^2 + 5 is transformed into g (x) 1/2 (x - 6 )^2 + 3 how is the graph of the original function transformed

Answer 1

We have the following:

$f(x)=\frac{1}{2}(x-3)^2+5\rightarrow g(x)=\frac{1}{2}(x-6)^2+3$

now, if we graph we have:

we can see that the original is two units up and three units to the right