Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 4 - 3 sin θ

Symmetry about y-axis

Step-by-step explanation:

We are given that

When the graph is symmetric about x- axis then the point (x,y) change in to (x,-y) and the function remain same.

The point is replaced by

Substitute the value then we get

 (

The value of function changes .Hence , the function is not symmetric about x- axis.

When the function is symmetric about y-axis then the point change into point and function remain same

Substitute the value

 ()

The value of function does not change when point change ,Hence, the function is symmetric about y- axis.

When the graph is symmetric about origin then the point   change into point and the value of function remain same.

Substitute the value then we get

Hence, the graph has  symmetry about y-axis .

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step-by-step explanation:

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: