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How do you reflect a figure across the y axis?
Replace each point with coordinates (x, y) by (-x, y).
How can you tell from the coordinates that two points are reflections of each other across the y axis?
The coordinates will be the same numerically but with different + and - signs.
What do all the points on the y axis have in common?
If the y axis is part of the Cartesian coordinate system, then the other coordinate is zero.Their x-axis value is 0.
What is the location of a point on a coordinate?
Each point in 1-dimensional or 2-d or 3-d or n-d space has a set of 1, 2, 3 or n coordinates and these, TOGETHER, identify the location of the point.
What is vertical change?
On a graph, the distance above and below the x-axis is given by the y-coordinate. Each point has a distinct location on the graph given by (x,y) where x represents the horizontal placement of the point and y represents the vertical placement. As you move from one point to another on the graph, your coordinates change. For example as you go from the point (2, 5) to (6, 15) your x-values went from 2 to 6, meaning they changed by 4 units (the difference in the x-coordinates). The x-values are your horizontal placements, so the horizontal change was 4 units. The y-values, are your vertical placements. They went from 5 to 15, a difference of 10 units, so the Vertical Change is 10 units. Put simply, the vertical change is the difference in the y-coordinates.
