Which describes the difference between the graph of f (x) = x2 and g (x) = - (x2 - 2) ?

A)

The graph of f (x) is obtained by flipping g (x) over the x-axis and shifting up 2 units.

B)

The graph of g (x) is obtained by flipping f (x) over the x-axis and shifting up 2 units.

C)

The graph of f (x) is obtained by flipping g (x) over the x-axis and shifting left 2 units.

D)

The graph of g (x) is obtained by flipping f (x) over the x-axis and shifting left 2 units.

Question

Porter Hunter

Mathematics

24 June, 09:13

Which describes the difference between the graph of f (x) = x2 and g (x) = - (x2 - 2) ?

A)

The graph of f (x) is obtained by flipping g (x) over the x-axis and shifting up 2 units.

B)

The graph of g (x) is obtained by flipping f (x) over the x-axis and shifting up 2 units.

C)

The graph of f (x) is obtained by flipping g (x) over the x-axis and shifting left 2 units.

D)

The graph of g (x) is obtained by flipping f (x) over the x-axis and shifting left 2 units.

+5

Answers (2)

Know the Answer?

Giovanna Merritt · Answer 1

Answer: B; here's a brief explanation as to why:

g (x) is an equation that has a - 1 being distributed to both x^2 and - 2, making the equation really - x^2 + 2,

the - in x^2 would flip the line on the X axis, while the + 2 would raise the line up by two