The function g (x) = (x-2) ^2. The function f (x) = g (x) + 3. How much is f (x) shifted horizontally and vertically from g (x) ?

1) The function f (x) is shifted horizontally.

A. 2 units to the left of g (x)

B. 2 units to the right of g (x)

C. The function is not shifted horizontally from g (x)

2) The function f (x) is shifted vertically.

A. 3 units up from g (x)

B. 3 units down from g (x)

C. The function is not shifted vertically from g (x)

Question

Mathematics

Aidyn Medina

1 June, 04:58

The function g (x) = (x-2) ^2. The function f (x) = g (x) + 3. How much is f (x) shifted horizontally and vertically from g (x) ?

1) The function f (x) is shifted horizontally.

A. 2 units to the left of g (x)

B. 2 units to the right of g (x)

C. The function is not shifted horizontally from g (x)

2) The function f (x) is shifted vertically.

A. 3 units up from g (x)

B. 3 units down from g (x)

C. The function is not shifted vertically from g (x)

+1

Answers (1)

Know the Answer?

Jaylynn Norton · Answer 1

For this case we have the following function transformation:

Vertical displacement.

Assume k> 0

If f (x) is the original function, f (x) + k is the original function with a vertical displacement k units up.

Answer:

Part 1:

C. The function is not shifted horizontally from g (x)

Part 2:

A. 3 units up from g (x)