Use tests for symmetry to determine which graphs from the list below are symmetr

Question

Use tests for symmetry to determine which graphs from the list below are symmetric with respect to the x-axis, the y-axis and the origin. (select all that apply.)

(a)  symmetric with respect to the y-axis:

1) y = 4x + y

2) y= -x+6y

3) y = -7x2y

4) y= 3x2 - 1x

5) y = (1/5)y2x

6) y = -y2 + 1y

7) y = (-1/9)x3y

8) y = x3y

9) y = xy = x - 2

(b)  symmetric with respect to the x-axis:

y = 4x + 2y

y = -x+6y

y = -7x2y

y= 3x2 - 1x

y = (1/5)y2x

y = -y2 + 1y

y = (-1/9)x3y

y = x3y

y = xy = x - 2

(c)  symmetric with respect to the origin:

y = 4x + 2y

y= -x+6y

y = -7x2y

y = 3x2 - 1x

y= (1/5)y2x

y = -y2 + 1y

y = (-1/9)x3y

y= x3y

y = xy = x - 2

note: this question wants you to select all the equation #1-9 that satisfies a,b,c. Thanks

Explanation / Answer

y symmetric (1),(6),(7),(8)

x symmetric (6), (7), (8)

origin symmetric (1), (2), (5), (6),(8)

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