Question

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

a. y=f(x+3)
b. y=f(x-3)
c. y+3=f(x)
d. y-3=f(x)

Answer 1

`D`

Explanation:

Notice that the red graph does not globally differ from the black graph: it would have been approximately the same one unless it had been displaced by 3 units up. Therefore, it was only the ordinate axis that underwent our change:
`y - 3 = f(x) \Leftrightarrow y = f(x) + 3`.