Question

Please help me with this problem......

Answer 1

A

Explanation:

The red graph is a vertical translation down of the black graph

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

• If c > 0 then shift up of c units

• If c < 0 then shift down of c units

Here the shift is 4 units down, thus

f(x) → f(x) - 4

The equation of the red graph is

y = f(x) - 4 ( add 4 to both sides )

y + 4 = f(x) → A

Answer 2

The red graph is the result of a vertical translation, 4 units down, of the black graph.

This means that, whenever the black graph associates

`x\mapsto f(x)`

The red graph must associate 4 less to the same input:

`x\mapsto f(x)-4`

So, the equation for the red graph is

`y=f(x)-4`

or, equivalently,

`y+4=f(x)`