Answer:
The equation r = 3 - cos Ф is correct for the graph ⇒ 3rd answer
Step-by-step explanation:
Equations of the form r = a + b sin Ф, r = a - b sin Ф, r = a + b cos Ф, and r = a - b cos Ф represent limacons
- Equations r = a + b sin Ф, r = a - b sin Ф are symmetric to the vertical axis
- Equations r = a + b cos Ф, r = a - b cos Ф are symmetric to the horizontal axis
- The shape of the limacons depends on the values of a and b
∵ The figure is a circle
- That means a is greater than twice b
∴ a > 2b
∵ The circle is symmetric to the x axis
∵ The majority of the circle lies in quadrants two and three
- That means most of the graph at the negative part of x
∴ The form of the equation is r = a - b cos Ф
Lets look to the answer to find the right one
∵ a > 2b
∴ a = 3 and b = 1 because 3 > 2(1)
∴ The answer is r = 3 - cos Ф
The equation r = 3 - cos Ф is correct for the graph
Answer: You are correct. There is only one answer and that is choice B) vertical line of symmetry.
We can draw a vertical line through the center to have one half mirror over this line to get the other half. We can't do the same with a horizontal line or any other kind of line.
We do not have rotational symmetry. Rotating the figure will produce an image different from the original. The angle of rotation is some angle x such that 0 < x < 360.
Work shown above! in the end she is 2 blocks north of her apartment. hope this helps c:
