Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

Question #16a39

1 Answer

Oct 10, 2016

See below.

Explanation:

The rotation matrix is

#R=((-1, 0),(0, -1))#

and the reflexion matrix about the #x# axis is

#E = ((1, 0),(0, -1))# so given

#T=DeltaPQR#

then

#T_R = R.T#

and

#T_E = E.T#

Attached a plot showing

#T# in black
#T_R# in red
#T_E# in blue

enter image source here

Related questions

What is a transformation? And what are the four types of transformations?
Describe a sequence of transformations that transform the graph of f(x) into the graph of...
Describe a sequence of transformations that transform the graph of f(x) into the graph of...
What are the different coordinate transformation conjectures?
Using the graph of f(x)= 1/x as a starting point, describe the transformations to get to #g(x) =...
Describe the transformations applied to #y=x²# to obtain the graph of #y=-(x+3)²-2#?
What are the rules of transformation - specifically, of dilation, rotation, reflection and translation?
Using the graph of #f(x)=x^2# as a guide, describe the transformations, and then graph the...
Which type of transformation does not preserve orientation?
What is the image of point (3, 5) if the rotation is -180°?

See all questions in Properties and Definitions of Transformations

Impact of this question

1845 views around the world

You can reuse this answer
Creative Commons License