9514 1404 393
Answer:
B. F(x) = 2(x -4)² +4
Step-by-step explanation:
The graph opens upward, so has a positive leading coefficient. (Eliminates choices A and C.)
The graph is translated right 4 units, so x in x² has been replaced by (x-4). (Eliminates choice D.)
The transformed graph is of the equation ...
F(x) = 2(x -4)² +4
If MO bisects angle LMN:
6 x - 20 = 2 x + 36
6 x - 2 x = 36 + 20
4 x = 56
x = 56 : 4
x = 14
∠ LMN = 2 · ( 2 · 14 + 36 ) = 2 · ( 28 + 36 ) = 2 · 64 = 128
Answer : C ) x = 14, ∠ LMN = 128
Dilation always preserves angle measures, the given statement best explains why the dilation of a triangle produces a similar triangle
<u>Step-by-step explanation:</u>
The dilation (similarity transformations) varies the size of the figure. This requires a midpoint and a scale factor k. The k value finds whether it is an increase or decrease.
- If | k |> 1, the dilation is an extension.
- If | k | <1 it is reduction.
The absolute value of k determines the size of the new image relative to the size of the original image. If the k is positive, the new and original image is on the same side of the center.
If k is negative, they are on both sides of the center. Its own image is always at the center of development. This support angle size, point equality, and collinearity. Does not maintain distance. In simple, dilation always give similar figures.