Question

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

Answer 1

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.

Answer 2

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