# How do you determine whether the graph of #absx=-3y# is symmetric with respect to the x axis, y axis or neither?

##### 1 Answer

Symmetric to y-axis;

Not symmetric to x-axis

#### Explanation:

If a relationship is symmetric to the y-axis then every point

That is if a relationship is symmetric to the y-axis, we can replace all occurrences of

Given the relationship:

since

and the relationship is symmetric to the y-axis

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Similarly, if a a relationship is symmetric to the x-axis, we can replace all occurrences of

Given the relationship:

we note that

so the relationship is **not** symmetric to the x-axis.

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