math

posted by .

an equation is being tested for symmetry with respect to the x-axis, the y-axis, and the origin. explain why, if two of these symmetries are present then remaining one must also be present.

  • math -

    For x-axis reflection symmetry,
    f(x,y) = f(x,-y)

    For y-axis reflection symmetry,
    f(x,y) = f(-x,y)

    For symmetry about the origin,
    f(x,y) = f(-x,-y)

    If you reflect about both x and y axes, it is equivalent to reflecting about the origin.

    If you reflect about the origin and then one axis, you have reflected about the other axis.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Algebra-Polynomails

    Please explain to me orgin of symmetry, y-axis semmetry, or if its neither. 1. Determine whether the graph of the polynomial has y-axis symmetry, origin symmetry, or neither. f(x) = 4x^2 - x^3 -this is how I did it: f(x)=(-4x^2)-x^3,I …
  2. Math

    For f(x) = 2x-3 and g(x)= 2x^2 find, a) (f + g)(x) = My answer is 2x^2 + 2x - 3. Is this correct?
  3. Math(Please, Please, help)

    For f(x) = 2x-3 and g(x)= 2x^2 find, a) (f + g)(x) = My answer is 2x^2 + 2x - 3. Is this correct?
  4. Math(Please check)

    Determine whether the graph of the following equation is symmetric with respect to the x-axis, the y-axis, and the origin. y^2 - x - 49 = 0 For x axis -y^2 - x - 9 = 0 is not the same as the first equation so it is not symmetrical …
  5. Algebra

    For each equation, determine whether its graph is symmetric with respect to the -axis, the -axis, and the origin. 4y^4+24x^2=28 and y=1/x^2+5 Check all symmetries that apply x-axis,y-axis,origin or non of the above.
  6. Algebra

    Restated:For each equation, determine whether its graph is symmetric with respect to the -axis, the -axis, and the origin. 4y^4+24x^2=28 and y=1/(x^2+5) Check all symmetries that apply x-axis,y-axis,origin or non of the above.
  7. Trig

    I need help solving the two problems below. Thanks For each equation, determine whether its graph is symmetric with respect to the -axis, the -axis, and the origin. Check all symmetries that apply. 1. y=-ã(4-x^(2)) 2. 34x^(2)+12y^(2)=18
  8. Trig

    I need help solving the two problems below. Thanks For each equation, determine whether its graph is symmetric with respect to the -axis, the -axis, and the origin. Check all symmetries that apply. 1. y=-sqrt(4-x^(2)) 2. 34x^(2)+12y^(2)=18
  9. maths2

    Test the equation for symmetry with respect to the x-axis, the y-axis, and the origin. x2 + y2 + x2y2 = 4 A. Symmetric with respect to the x-axis B. Symmetric with respect to the y-axis C. Symmetric with respect to the origin D. Symmetric …
  10. Math

    Determine whether the graph of x=y^2-1 is symmetric with respect to the x-axis, the y-axis, the origin, or has no symmetry.

More Similar Questions