Question

Is the graph of equation
4y= 3x
symmetric about origin?​

Answer 1

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Find the Symmetry 4y=3x²-2

4y=3x²−24y=3x²-2

There are three types of symmetry:

1. X-Axis Symmetry

2. Y-Axis Symmetry

3. Origin Symmetry

If (x,y)(x,y) exists on the graph, then the graph is symmetric about the:

1. X-Axis if (x,−y)(x,-y) exists on the graph

2. Y-Axis if (−x,y)(-x,y) exists on the graph

3. Origin if (−x,−y)(-x,-y) exists on the graph

Check if the graph is symmetric about the x-axis by plugging in −y-y for yy.

4(−y)=3x2−24(-y)=3x2-2

Multiply −1 by 4.

−4y=3x²−2-4y=3x²-2

4y=3(−x)²−24y=3(-x)²-2

Simplify each term.

4y=3x²−24y=3x²-2

4(−y)=3(−x)²−24(-y)=3(-x)²-2

Solve for 4y.

4y=−3x²+2