Help me please 9:00A classroom.google.comNameDateAlgebraic Representations of ReflectionsReflectionsReflection across x axis:(х, у) — (х, —у)Reflection across y axis:(х, у) — (-х, у)Write an algebraic rule to describe each reflection.1.Algebraic rule: (x, y) → (Algebraic rule: (x, y) → (Use the given rule to graph the image of each figure. Then describe the transformation.3. (х, у) -> (х, -у)4. (х, у) -> (-х, у)-4445. If P(2,7) is reflected using the rule (x, y) + (-x, y), what are the coordinates for P'?6. If Q(-3,4) is reflected using the rule (x, y) - (x, -y), what are the coordinates for Q'?7. If R(-3,6) is reflected across the x-axis, what are the coordinates for R'?8. If S(4,-3) is reflected across the y-axis, what are the coordinates of S'?

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Algebra

Write an algebraic rule to describe each reflection. 2. Algebraic rule: (x,y) → ( Algebraic rule: (x, y) -→ (, )

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 41E

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Estimation

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Question

Help me please

9:00
A classroom.google.com
Name
Date
Algebraic Representations of Reflections
Reflections
Reflection across x axis:
(х, у) — (х, —у)
Reflection across y axis:
(х, у) — (-х, у)
Write an algebraic rule to describe each reflection.
1.
Algebraic rule: (x, y) → (
Algebraic rule: (x, y) → (
Use the given rule to graph the image of each figure. Then describe the transformation.
3. (х, у) -> (х, -у)
4. (х, у) -> (-х, у)
-4
4
4
5. If P(2,7) is reflected using the rule (x, y) + (-x, y), what are the coordinates for P'?
6. If Q(-3,4) is reflected using the rule (x, y) - (x, -y), what are the coordinates for Q'?
7. If R(-3,6) is reflected across the x-axis, what are the coordinates for R'?
8. If S(4,-3) is reflected across the y-axis, what are the coordinates of S'?

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A triangle is defined by the coordinates P1(3, 0, 0), P2(0, 5, 0) and P3(0, 0, 7). The triangle is rotated 30-degree counter-clockwise about the x-axis. Solve the transformation operation to determine the new position of the triangle (a) (b) The rotated triangle in (a) is next rotated 45-degree counter-clockwise about the z-axis. Solve the transformation operation to determine the new position of the triangle. (c) Instead of the rotations in (a) and (b), the original triangle in (a) at coordinate P:(3, 0, 0), P2(0, 5, 0) and P3(0, 0, 7) is now rotated 30-degree clockwise about the x-axis. Next, the rotated triangle is then rotated 45-degree clockwise about the z-axis. Solve the transformation operation to determine the final position of the triangle. (d) Explain how you can rotate the rotated triangle in part (b) to its original position at P:(3, 0, 0), P2(0, 5, 0) and P3(0, 0, 7).
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