13. Which equation defines the graph of y = x^2 after it is shifted vertically 3 units up and horizontally 2 units right?
A. y=(x+2)^2+3
B. y=(x-3)^2+2
C. y=(x-2)^2+3
D. y=(x+3)^2+2
The three units upward shift is denoted by +3 outside of the parenthesis and horizontal shift to the right is represented by -2 inside the parenthesis. The answer is C.
The graph of y = x² ( the parent function ) is shifted vertically 3 units up and horizontally 2 units right: y = ( x - h )² + k, where: h = 2 and k = 3 Answer: C ) y = ( x - 2 )² + 3
