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The equation for a circle with radius r and centre (X, Y) is given by:

(x - X)² + (y - Y)² = r²

This can be expanded to give:

x² - 2Xx + X² + y² - 2Yy + Y² = r²

→ x² - 2Xx + y² - 2Yy + X² + Y² - r² = 0

If the centre lies on the y-axis, then the x-coordinate of the centre is 0, ie the centre is at (0, Y), then -2X = 0 and the x term disappears to make the equation:

x² + y² -2Yy + Y² - r² = 0

So if the centre lies on the y-axis (x = 0), then there is no term involving just x, only a term involving x².

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The maximum and minimum points will be on the y-axis. However, I very much doubt if you could tell the difference if the centre was a microscopic distance from the axis.

Q: How can you tell by looking at the equation of the circle that the center of the circle lies on the y-axis?

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Which point is not located on the xaxis or the yaxis of a coordinate grid?Read more:Which_point_is_not_located_on_the_xaxis_or_the_yaxis_of_a_coordinate_grid

.... then your graph is inverted.

The vertical y axis on the Cartesian plane is both negative and positive

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Which point is not located on the xaxis or the yaxis of a coordinate grid?Read more:Which_point_is_not_located_on_the_xaxis_or_the_yaxis_of_a_coordinate_grid

up and down. the x goes left and right

.... then your graph is inverted.

The vertical y axis on the Cartesian plane is both negative and positive

We use y_y axes

step 1 first u should seclect the name independent and dependent veriables 2. take X axis ur independent veriable and Yaxis as a dependent veriable 3.lable the axis with units 4. now draw all points on the paper 5.connect first and last point of the reading 6. make sure that u have slected a suitabe scale for drawing the graph of a complecated data

The main vertical line going up the middle is generally refered to as the y axis, while the horizontal line that meets the yaxis in the middle is refered to as the x axis. the line that's going up the line that's going across is the x axis

The main vertical line going up the middle is generally refered to as the y axis, while the horizontal line that meets the yaxis in the middle is refered to as the x axis. the line that's going up the line that's going across is the x axis

=== === A vertical line is a line with an undefined slope. Note that this is different from an infinite slope. The slope of a vertical line is said to be undefined. It may be said to go "straight up and down"A vertical line is drawn on a graph by plotting x = nwhere n equals any real number. The value of n is located on the x axis and then a line is drawn parallel to the yaxis through that x value. Note that the y axis itself is a vertical line. There are an infinite number of possible lines with an undefined slope, of course. Any number on the x axis can have a line drawn through it parallel to the y axis, and any one of those lines is said to be a vertical, and will have a slope that is undefined.A simpler definition say a vertical a line is a line that goes up to down