Answer :
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
[tex]x\mapsto f(x)[/tex]
The red graph must associate 4 less to the same input:
[tex]x\mapsto f(x)-4[/tex]
So, the equation for the red graph is
[tex]y=f(x)-4[/tex]
or, equivalently,
[tex]y+4=f(x)[/tex]
Answer:
A
Step-by-step 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