For which pair of functions is the vertex of g (x) 11 units above the vertex of f (x) ?

O A. f (x) = x2 and g (x) = (x + 11) 2

O B. f (x) = x2 and g (x) = (x - 11) 2

O c. f (x) = x2 and g (x) = x2 + 11

O D. Rx) = x2 and g (x) = x2 - 11

Question

Mathematics

Chance Fry

23 December, 07:39

For which pair of functions is the vertex of g (x) 11 units above the vertex of f (x) ?

O A. f (x) = x2 and g (x) = (x + 11) 2

O B. f (x) = x2 and g (x) = (x - 11) 2

O c. f (x) = x2 and g (x) = x2 + 11

O D. Rx) = x2 and g (x) = x2 - 11

+1

Answers (2)

Know the Answer?

Daniel Adkins · Answer 1

The correct answer to the question is C

Kayden Salinas · Answer 2

C

Step-by-step explanation:

Given f (x) then f (x) + c is a vertical translation of f (x)

• If c > 0 then a vertical shift up of c units

• If c < 0 then a vertical shift down of c units

Here g (x) is 11 units above, that is a shift up, thus

g (x) = f (x) + 11, that is

g (x) = x² + 11 → C

For which pair of functions is the vertex of g (x) 11 units above the vertex of f (x) ?O A. f (x) = x2 and g (x) = (x + 11) 2O B. f (x) = x2 and g (x) = (x - 11) 2O c. f (x) = x2 and g (x) = x2 + 11O D. Rx) = x2 and g (x) = x2 - 11

For which pair of functions is the vertex of g (x) 11 units above the vertex of f (x) ?

O A. f (x) = x2 and g (x) = (x + 11) 2

O B. f (x) = x2 and g (x) = (x - 11) 2

O c. f (x) = x2 and g (x) = x2 + 11

O D. Rx) = x2 and g (x) = x2 - 11