Your friend attempted to describe the transformations applied to the graph of
They think the following transformations have been applied. Which transformations have been identified correctly, and which have not? Justify your answer.
a) f(x) has been reflected vertically.
b) f(x) has been stretched vertically by a factor of 2.
c) f(x) has been stretched horizontally by a factor of 3.
d) f(x) has a phase shift left 30 degrees.
e) f(x) has been translated up 1 unit.
Lily wants to define a transformation (or series of transformations) using only rotations, reflections or translations that takes Figure A to Figure B.
Which statement about the transformation that Lily wants to define is true?
A. It can be defined with two reflections.
B.It can be defined with one rotation and one translation.
C. It cannot be defined because Figure A and Figure B are not congruent.
D.It cannot be defined because the longest side of Figure B is on the bottom.
If you still remember high school geometry, you might know the woes of solving transformation geometry problems like the famous transformation geometry equations that seem impossible to solve no matter what answers you would come up with. Thankfully, these days you can look up various transformation geometry examples and help yourself come up with the solutions to the questions that you have. To understand how it works, think about flipping through pictures online frame after frame, the symmetry of a musical instrument, shoes, an airplane, and many other things that we all use daily.