please go step by step and treat me like a 7 year old so i understand it.
y^2=x^3-4x test for symmetry with respect to each axis and to the origin??
y^2=x^3-4x test for symmetry with respect to each axis and to the origin??
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y^2=x^3-4x
To test for symmetry on the x-axis, replace all the y's with -y, and vice versa for y-axis; then, for the origin, replace both the x's and y's with -x/-y.
x-axis:
-y^2=x^3-4x
y^2=x^3-4x
Symmetric
y-axis:
y^2=-x^3-4(-x)
y^2=-x^3+4x
Not symmetric
origin:
-y^2=-x^3-4(-x)
y^2-x^3+4x
Not symmetric
Hope this helps!
To test for symmetry on the x-axis, replace all the y's with -y, and vice versa for y-axis; then, for the origin, replace both the x's and y's with -x/-y.
x-axis:
-y^2=x^3-4x
y^2=x^3-4x
Symmetric
y-axis:
y^2=-x^3-4(-x)
y^2=-x^3+4x
Not symmetric
origin:
-y^2=-x^3-4(-x)
y^2-x^3+4x
Not symmetric
Hope this helps!
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Ok, scuter, now remember to eat all ur vegetables and be in bed by 9. And remember, 2+2 = chair. :)
What u said to treat u like an 7 yr old
What u said to treat u like an 7 yr old