Question

Assume that f(3)=4. Name a point that must be on the graph of y=f(x)+4

Answer 1

if x = 3
then f(x) = 4
so y = 4 + 4 = 8

Answer 2

(3,8)

Answer 3

Since $f(-3)=6$, let $x = -7$. Then $f(-7+4)=6$, and $\boxed{(-7,6)}$ is on the graph.

Alternatively, the graph of $y=f(x+4)$ is a horizontal shift of the graph of $y=f(x)$ by 4 units to the left. Since $(-3,6)$ is on the graph of $y=f(x)$, we know that $\boxed{(-7,6)}$ is on the graph of $y=f(x+4)$.