Answer:
Step-by-step explanation:
we know that
The rule of the translation is equal to
That means
The translations is units to the right and
unit up
Let
-------> the coordinates of point B
------> the coordinates of point B'
Find the distance
the formula to calculate the distance between two points is equal to
substitute
The parent function moves 4 units right and 3 units down. This is a translation by the vector.
According to the question,
Transformation maps onto
. Take f(x) =
and f(x+4)=
.
f(x) =
f(x+4)=
f(x+4) - 3= - 3
Analyze the function to see the translations. f(x-4) corresponds to a horizontal translation 4 units in the positive 'x' direction. f(x)-3 corresponds to a vertical translation 3 units in the negative 'y' direction.
Hence, the parent function moves 4 units right and 3 units down. This is a translation by the vector.
Learn more about parent function here
#SPJ4
Step-by-step explanation: The base of the power in the original equation becomes the base of the log. So we have .
Next, the exponent in the original equation goes on the other side of the equation and finally, the result in the original equation goes inside the log.
So we have
which is 3² = 9 written in logarithmic form.
This can also be switched around to read .
So the first choice will be your answer.
My work is also show in the image attached,
I just didn't switch it.
