## Studentc14 3 years ago How to test for symmetry?? Test the equation for symmetry and sketch its graph. x=square root of y

1. klimenkov

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2. Studentc14

Okay, thanks for the graph. but how do you test for symmetry?

3. tkhunny

Substitute Symmetry across the y-axis: see of f(x) = f(-x) Symmetry across the x-axis: see of f(y) = f(-y) Symmetry across the origin: see of f(x) = -f(-x)

4. Studentc14

I don't understand can you like show me an exapmle

5. tkhunny

y = x^2 Substitute -x y = (-x)^2 = (-1)^2 * (x^2) = x^2 EXACTLY the same. Symmetry about the y-axis.

6. Studentc14

7. amistre64

functions dont have a test about the x axis since a function only defines a unique value for any given x

8. amistre64

there are tests for about the y axis, about the origin, and if its a "relation" then we can try tests for about the x axis a spose; see if -y and y can stem from the same x value

9. Studentc14

then how to test about the origin?

10. amistre64

if you negate the input, does it produce a negated output?

11. amistre64

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