Question

if p= (-2 4) then find Ry=1 (p)
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Answer 1

The reflection mapping of the equation p(-2, 4) is $\mathbf{R_{y =1}(P)=(-2,-2)}$

To solve this question, we must understand what is reflection mapping is all about.

What is reflection mapping?

In mathematical concepts, a reflection is indeed a mapping via a Euclidean plane to itself. The isometry of this usually has a hyperplane with designated fixed points that are commonly referred to as axis.

From the given information, we have:

The given points P = (-2, 4)

Required to find:

$\mathbf{R_{y =1}(P)}$

Hence, the image of P under the axis(point of reflection line) is y = 1

• The mapping of this reflection in line is y = k

Thus,

$\mathbf{(x,y) = (x,2k-y)}$

$\mathbf{(x,y) = (-2,2(1)-4)}$

$\mathbf{(-2,4) = (-2,-2)}$

Therefore, we can conclude that the $\mathbf{R_{y =1}(P)=(-2,-2)}$

Learn more about reflection mapping here:

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