Question

PLEASE HELP ASAP 25 PTS

How is the graph of log (x + 3) – 4 translated from the graph of log x?

shifted left 4 units and up 3 units

shifted left 3 units and down 4 units

shifted right 3 units and up 4 units

shifted right 4 units and down 3 units

Answer 1

Shifted left 3 units and down 4 units.

Explanation:

The transformation x ---> x + 3 will translate the graph 3 units left. The - 4 will move it 4 units down.

Answer 2

shifted left 3 units and down 4 units

Explanation:

f(x) =log (x )

g(x) = log(x+3)

This is a shift of 3 unit to the left

h(x) = log(x+3) -4

This is a shift 4 units down

So we shift 3 units to the left and 4 units down