Choose the one alternative that best completes the statement or answers the question.
Solve the problem.
-$$y = ( x - 20 ) ^ { 2 } + 11$$
A) Shift the graph of $y = x ^ { 2 }$ left 20 units and then down 11 units.
B) Shift the graph of $y = x ^ { 2 }$ up 20 units and then right 11 units.
C) Shift the graph of $y = x ^ { 2 }$ right 20 units and then up 11 units.
D) Shift the graph of $y = x ^ { 2 }$ left 20 units and then up 11 units.

Question

Quizplus · Accepted Answer

The correct transformation of the graph $y = x^2$ to get $y = (x - 20)^2 + 11$ involves shifting the graph to the right by 20 units (because of the $x - 20$ inside the parentheses) and then moving it up by 11 units (because of the $+ 11$ outside the parentheses).

Choose the One Alternative That Best Completes the Statement or Answers