Factor completely 20x3y + 30x2y2.
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Since I can't see the figure on the coordinate plane, I can't give you exact coordinates for you to plot to get Figure B or Figure C. But I can tell you the transformation rules for reflection across the y-axis and the 180 rotation around the origin.
Rule for reflection across y-axis
(x, y)
(-x, y)
For example: Point B in a sample figure has the coordinate point of (1,2) would have a point of (-1, 2) when reflected across the y-axis.
Rule for rotating 180 degrees
(x, y) (-x, -y)
For example: Point C in a sample figure has the coordinate point of (3, 4) would have a point of (-3, -4) when rotating 180 degrees around the origin.
Rule for reflection across y-axis
(x, y)
For example: Point B in a sample figure has the coordinate point of (1,2) would have a point of (-1, 2) when reflected across the y-axis.
Rule for rotating 180 degrees
(x, y)
For example: Point C in a sample figure has the coordinate point of (3, 4) would have a point of (-3, -4) when rotating 180 degrees around the origin.
Hmmm the y-intercept is at -2? what does that mean? well, is where the graph "intercepts" or touches the y-axis, and when that happens, x = 0, so the point is really ( 0 , -2 ).
and we know where the vertex is at. Let's assume a vertical parabola, in which case the squared variable is the "x".
and we know where the vertex is at. Let's assume a vertical parabola, in which case the squared variable is the "x".