Answer: 
Step-by-step explanation:
Some transformations for a function f(x) are shown below:
If
, the function is translated up "k" units.
If
, the function is translated down "k" units.
If
, the function is reflected across the x-axis.
If
, the function is reflected across the y-axis.
Therefore, knowing those transformations and given the exponential parent function:

If it is reflected across the y-axis and the it is translated down 4 units, we can determine that the resulting function is:

The coordinate (5,-6) lies in the fourth coordinate, because the first is x positive y positive, the second is x negative and y positive, the third is x negative and y negative, and the fourth is x positive y negative. This is x positive y negative, so it is in the fourth quadrant.
Answer:
B)max/ opens down
Step-by-step explanation:
Parabola equation:
The equation of a parabola has the following format:

If
, that is, x² is multiplied by a positive number, the function has a minimum value and the parabola opens up.
If
, that is, x² is multiplied by a negative number, the function has a maximum value and the parabola opens down.
In this question:

From the graph, we already see that it opens down and has a max, and analitically, since
, this is confirmed. The correct answer is given by option b.
Answer:
(4,1)
Step-by-step explanation:
when points are reflected on the y-axis you switch your x coordinate from positive to negative or the other way around the y coordinate stays the same.
(2,1) reflected is (-2,1)
(7,4) reflected is (-7,4)
(-8,-4) reflected is (8,-4)
so (-4,1) reflected is (4,1)