Answer:
54
Step-by-step explanation:
THis is a cool question.
1) Use the point slope form to find the equation of the lines between two of the points (choose two points that when a line is drawn between them make a chord on the circle).
2) Use the midpoint of a line equation to find the midpoint of the line, then find the slope of the line that is perpendicular at that point and write an equation for it.
3) Then do the same thing for the other two points that form a chord on the circle.
4) Then set the two equations equal to each other and solve. The point where they meet is the circumcenter.
65,130 that should be the answer...
The reflection over the x-axis is given by the transformation:
f₁(x) = - f(x)
Therefore, the first step is:
f₁(x) = - log(4x)
Stretching by a factor n along the y-axis is given by the transformation:
f₂(x) = n · f₁(x)
Therefore we get:
f₂(x) = -3 · log(4x)
Shifting a function down of a quantity n is given by:
f₃(x) = f₂(x) - n
Therefore:
f₃(x) = -3·log(4x) - 2
Hence, the correct answer is C) g(x) = <span>-3·log(4x) - 2</span>