Question

The black graph is y = f(x). Choose the equation for the red graph.

A. y - 2 = f (x)
B. y = f (x + 2)
C. y + 2 = (x)
D. y = f (x - 2)​

Answer 1

C

Explanation:

given the graph of f(x) then the graph of f(x) ± c is a vertical translation of f(x)

• if + c then a shift up of c units

• if - c then a shift down of c units

here the red graph is the graph of f(x) shifted down 2 units , then

y = f(x ) - 2 ( add 2 to both sides )

y + 2 = f(x) ← option C