With respect to the parent function,
y = 1/(x+5) +2
is translated 5 units left and 2 units up.
1. 112 degrees
2. 68 degrees
The two coordinates' x variables are the same, while the y variables change. This means that it is reflected over the x axis. Reflecting over the y axis would cause a change in the x variable, as it would have to move sideways, so this can't be the case since the x variable stays as 4 even after the reflection.
Hello from MrBillDoesMath!
Answer: 48.2 degrees
Discussion:
In the diagram, "6" is the x- distance along the side adjacent to theta, and
3 * sqrt(5) is the y-distance along the side opposite angle theta.
By definition of tangent of angle, using "@" for theta, we have
tan (@) = opposite/adjacent = 3 * sqrt(5) / 6 = sqrt(5)/2
So @ = (inverse tangent (sqrt(5)/2) ) = 48.189 degrees (approximately)
Thank you,
MrB
