Answer:
Translate each point of the graph of h(x) 3 units left ⇒ 4th answer
Step-by-step explanation:
Let us revise the translation of a graph
- If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)
- If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)
- If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k
- If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k
∵ [tex]h(x)=log_{6}(x)[/tex]
∵ [tex]m(x)=log_{6}(x+3)[/tex]
∵ x in h(x) is changed to (x + 3) in m(x)
- From the 2nd rule above, that means the graph of h(x)
is translated 3 units to the left
∴ The graph of h(x) is translated 3 units to the left
∴ Each point on the graph of h(x) is translated 3 units to the left
∴ Translate each point of the graph of h(x) 3 units left
Look to the attached figure to more understand
The red line represents h(x)
The blue line represents m(x)
