How would you shift the parent funtion y=x^2 to the graph function y=(x-4)^2+5?

Question

A)shifted 4 units to the right and 5 units down

B)shifted 4 units to the right and 5 units up

C)shifted 5 units to the right and 4 units down.

D)shifted 5 units to the left and 4 units up 

Answer 1

The number inside the parentheses moves the graph along the x- axis; left if a positive number and right if a negative number. The number out side of the parentheses shift the graph up if a positive number and down if a negative number, along the y-axis.  The (+5) shifts the graph up 5 units on the y axis and the (-4) shifts the graph to the right 4 units along the x axis, so the answer would be B. 

Answer 2

B)  shifted 4 units to the right and 5 units up

You can verify this by realizing that the vertex will now occur when x=4, and its y value will now be 5.