Question 5 (1 point)
What are the transformations?
\[
y=(x-2)^{2}+4
\]
a) Shift 2 units left, shift 4 units down
b) Shift 2 units left, shift 4 units up
c) Shift 2 units right, shift 4 units down
d) Shift 2 units right, shift 4 units up

Step 1 ：The equation given is in the form of a transformed quadratic function. The general form of a transformed quadratic function is \(y=a(x-h)^{2}+k\), where (h,k) is the vertex of the parabola.

Step 2 ：The value of h determines the horizontal shift and the value of k determines the vertical shift. If h is positive, the graph shifts h units to the right. If h is negative, the graph shifts |h| units to the left. If k is positive, the graph shifts k units up. If k is negative, the graph shifts |k| units down.

Step 3 ：In the given equation, h=2 and k=4. Therefore, the graph shifts 2 units to the right and 4 units up.

Step 4 ：So, the correct answer is option d) Shift 2 units right, shift 4 units up.

Step 5 ：Final Answer: \(\boxed{\text{d) Shift 2 units right, shift 4 units up}}\)