Question

Test the function x-y^2=0 for symmetries. Show all your work and make a conclusion. Clue: Separate the y first. Thanks!

Answer 1

Solving the function for y, it is found that the function is symmetric over the x-axis.

What is the solution of the function for y?

The function is given by:

x - y² = 0.

The solution for y is given as follows:

y² = x

y = ± sqrt(x)

y = -sqrt(x) or y = sqrt(x)

-sqrt(x) and sqrt(x) are symmetric over the x-axis, hence, since y can assume both functions, the function is symmetric over the x-axis.

More can be learned about symmetric functions at https://brainly.com/question/24737967

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