Answer:
;
,
.
Step-by-step explanation:
The resultant function is obtained by multiplying by a real number
. That is:
If and
, then
is:
Given that presence of the expression , then:
and
The value of a is obtained by applying the definition of logarithms:
Finally, the value of k is found by direct comparison:
Answer: SECOND OPTION.
Step-by-step explanation:
Given the following point identified as "A":
You can identify that the x-coordinate of the point is:
And its y-coordinate is:
According to the exercise, this point is translated five units right and three units down. This means that, in order to find the new coordinates, you need to add 5 to the original x-coordinate and subtract 3 from the original y-coordinate.
Therefore, you can conclude that the rule that best describe the translation of the point is the following:
→
Then, the point translated is:
→