If you are given the graph of h of x is equal to the log base 6 of x , how could you graph m times x is equal to log sub 6 of open paren x plus 3 close paren ?
Answer
A
Translate each point of the graph of h x 3 units down.
B
Translate each point of the graph of h x 3 units up.
C
Translate each point of the graph of h x 3 units right.
D
Translate each point of the graph of h x 3 units left.
Explanation
Since h(x) = log₆(x), the new function is h(x + 3). Replacing x with x + 3 shifts a graph 3 units to the left. Therefore, translate each point of the graph of h(x) 3 units left; choice C is correct.
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