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Move the center of the circle horizontally to the left and then to the right of the y-axis. How does the equation of the circle change as the center crosses the y-axis?

Respuesta :

Answer:

The equation of a circle centered in the point (a, b) and with a radius R.

(x - a)^2 + (y - b)^2 = R^2

Then, if you move the circle to the left, then you are decreasing the value of b.

Where b = 0 means that the center of the circle lies on the y-axis.

When you move the graph to the right you will be increasing the value of b.

Answer:

The variable h changes as the center of the circle moves horizontally. The sign of h is negative when the center is to the left of the y-axis and positive when it is to the right of the y-axis. The sign of the variable h flips when the center moves across the y-axis.

Step-by-step explanation:

plato answer from Equation of a Circle: Tutorial :)

This link will take you to a quizlet that is on this lesson with the other answers and test question answers!!

https://quizlet.com/519491317/geometry-b-unit-7-flash-cards/#:~:text=Move%20the%20center%20of%20the%20circle%20vertically%20so%20it%20lies,of%20the%20circle%20moves%20vertically.