1.3 intercepts, symmetry, graphing key equations

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finding intercepts algebraically

to solve for x, let y=0, do the same for y

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finding intercepts algebraically AGAIN

use factoring binomial method to find x intercepts

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test for symmetry RULES

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1.

Replace y with -y and simplify. If the value is equal, it's symmetric w.r.t x-axis

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2,

Replace x with -x and simplify. If the value is equal, it's symmetric w.r.t y-axis

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3.

Replace x and y with -x and -y and simplify. If the value is equal, its symmetric w.r.t the origin.

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IMPORTANT FOR SYMMETRY! LAST RULE

If w.r.t x and w.r.t y works, THE ORIGIN IS ALSO SYMMETRIC!!