Consider the functions f (x) = (x-5) ^2+2 and g (x) = (x+6) ^2-4. Which of the following statements is true?

A: The graph of g (x) is shifted 2 units below and one unit to the right of the graph of f (x).

B: The graph of g (x) is shifted 1 unit above and 2 units to the right of the graph of f (x).

C: The graph of g (x) is shifted 6 units below and 11 units to the left of the graph of f (x).

D: The graph of g (x) is shifted 11 units above and 6 unit to the left of the graph of f (x).

Question

Beckham Neal

Mathematics

18 October, 07:04

Consider the functions f (x) = (x-5) ^2+2 and g (x) = (x+6) ^2-4. Which of the following statements is true?

A: The graph of g (x) is shifted 2 units below and one unit to the right of the graph of f (x).

B: The graph of g (x) is shifted 1 unit above and 2 units to the right of the graph of f (x).

C: The graph of g (x) is shifted 6 units below and 11 units to the left of the graph of f (x).

D: The graph of g (x) is shifted 11 units above and 6 unit to the left of the graph of f (x).

+4

Answers (1)

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Annabelle Boyer · Answer 1

C. Adding to x shift graph left, subtracting from x shifts graph right. Adding a constant shifts the graph upwards and subtracting a constant shifts graph downwards ...

In this case f (x) is shifted leftward by 11 units and downward by 6 units.