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#1 2024-03-13 14:38:47

mathxyz
Member
From: Brooklyn, NY
Registered: 2024-02-24
Posts: 1,053

Use Graph to Find Symmetry

How does one use the graph of a function to find any symmetry with respect to the x-axis, y-axis, or origin?

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#2 2024-03-14 00:58:33

amnkb
Member
Registered: 2023-09-19
Posts: 253

Re: Use Graph to Find Symmetry

FelizNYC wrote:

How does one use the graph of a function to find any symmetry with respect to the x-axis, y-axis, or origin?

Use def. of the symmetries
even: mirrored on each side of y-axis (like y=x^2)
odd: mirrored but upside down on other side of y-axis (like y=x^3)
origin: each pt matches another pt on th e other side of the origin (like y=x^3)

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#3 2024-03-14 04:23:39

mathxyz
Member
From: Brooklyn, NY
Registered: 2024-02-24
Posts: 1,053

Re: Use Graph to Find Symmetry

amnkb wrote:
FelizNYC wrote:

How does one use the graph of a function to find any symmetry with respect to the x-axis, y-axis, or origin?

Use def. of the symmetries
even: mirrored on each side of y-axis (like y=x^2)
odd: mirrored but upside down on other side of y-axis (like y=x^3)
origin: each pt matches another pt on th e other side of the origin (like y=x^3)

Can you show me using a graph or two?

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