How do we shift the graph of $y=f\left(x\right)$y=f(x) to get the graph of $y=f\left(x\right)+4$y=f(x)+4?
Move the graph up by $4$4 units.
Move the graph down by $4$4 units.
How do we shift the graph of $y=g\left(x\right)$y=g(x) to get the graph of $y=g\left(x+6\right)$y=g(x+6)?
Consider the equation $y=4x$y=4x.
How do we shift the graph of $y=a^x$y=ax to get the graph of $y=a^{\left(x+5\right)}$y=a(x+5)?