Shifts of the graph of a quadratic function {ACT}

Which of the following sequence of shifts would you perform in order to obtain the graph of f(x) = (x - 4)² + 1
from the graph of g(x) = x²
A.)  Shift the graph of g up 1 unit and then left 4 units
B.)  Shift the graph of g down 1 unit and then right 4 units
C.)  Shift the graph of g up 1 unit and then right 4 units
D.)  Shift the graph of g down 4 units and then right 1 unit
E.)  none of these

When you subtract 4 from the x-value, it shifts the graph right 4 units on the x-axis  {that is shown in (x - 4)}
When you add 1 to the y-value, it shifts the graph up 1 on the y-axis  {that is shown by adding 1 to what f(x) equals}

The right and left shifts are easily misunderstood and confused.
Remember:
- when you subtract from the x-value, it shifts the graph to the right, and
  when you add to the x-value it shifts the graph to the left
{opposite of what most people think it should be}
 
Also,
- when you add to the y-value, it shifts the graph up, and
  when you subtract from the y-value, it shifts the graph down
 
C.)  Shift the graph of g up 1 unit and then right 4 units


- Algebra House