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Let F(x,y) = y - x^3
Note that (-x)^3 = -(x^3)
This suggests that
F(-x,-y) = -F(x,y)
(-x,-y) represents the point (x,y) reflected through the origin. You could say the function F has anti-point symmetry -- each point (x,y,F) is reflected through the origin at (-x, -y, -F).
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What is the geometric significant of k in equation yx3 k?
This equation yx3 k is that of a parabola. The variable h and k represent the coordinents of the vertex. The geometrical value k serves to move the graph of the parabola up or down along the line.
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There should not be any y in the derivative itself since y or y(x) is the function whose derivative you are finding.
What is reflectional summetry?
Reflection symmetry, reflectional symmetry, line symmetry, mirror symmetry, mirror-image symmetry, or bilateral symmetry is symmetry with respect to reflection
What are the three types of symmetry?
line symmetry, rotational symmetry, mirror symmetry &liner symmetry
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