The graph of f (x) = x2 is shifted 3 units down to obtain the graph of g (x). Which of the following equations best describes g (x) ?

g (x) = (x + 3) 2

g (x) = x2 - 3

g (x) = x2 + 3

g (x) = (x - 3) 2

Question

Mathematics

Wesley Fischer

20 November, 19:30

The graph of f (x) = x2 is shifted 3 units down to obtain the graph of g (x). Which of the following equations best describes g (x) ?

g (x) = (x + 3) 2

g (x) = x2 - 3

g (x) = x2 + 3

g (x) = (x - 3) 2

+5

Answers (1)

Know the Answer?

Roberto Taylor · Answer 1

Shift up k units, add k to whole function

shift to right h units, add h to every x

f (x) = x^2

3 units down (means - 3 units up)

add - 3 to whole function

g (x) = (x^2) - 3

amswer is the second option

The graph of f (x) = x2 is shifted 3 units down to obtain the graph of g (x). Which of the following equations best describes g (x) ?g (x) = (x + 3) 2g (x) = x2 - 3g (x) = x2 + 3g (x) = (x - 3) 2

The graph of f (x) = x2 is shifted 3 units down to obtain the graph of g (x). Which of the following equations best describes g (x) ?

g (x) = (x + 3) 2

g (x) = x2 - 3

g (x) = x2 + 3

g (x) = (x - 3) 2