Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = -5 - 5 cos θ

The graph of polar equation is symmetric about the x-axis.

Step-by-step explanation:

The given polar equation is

If and lie on the graph then the graph of polar equation is symmetric about the x-axis.

Substitute in the given equation.

Cosine is an even function.

Point lies on the graph, therefore the graph of polar equation is symmetric about the x-axis.

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.

just pick what you think i need more time let me know if this

step-by-step explanation: