"Changing Fish" Position and Coordinates PPT Courseware 2

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"Changing Fish" Position and Coordinates PPT Courseware 2

Describe the following points in the Cartesian coordinate system: (0,0) (5,4) (3,0) (5,1) (5,-1) (3,0) (4,-2) (0, 0) and connect them one by one with line segments to see what the pattern is.

The fish in the picture has the coordinates: (0,0) (5,4) (3,0) (5,1) (5,-1) (3,0) (4,-2) (0,0 ) are formed by connecting the points in sequence with line segments

If the ordinate remains unchanged, what will happen if we add 2 to the abscissa of each coordinate?

1. Translation

1. When the ordinate remains unchanged and the abscissa increases (decreases) by a unit respectively, the graph __________ translates by a unit;

2. When the abscissa remains unchanged and the ordinate increases (decreases) by a unit respectively, the graph __________ translates by a unit;

2. Elongation (compression)

3. If the ordinate remains unchanged and the abscissa becomes a times the original, the graph will be a times the original (a>1)

4. If the abscissa remains unchanged and the ordinate becomes a times the original, the graph will be a times the original (a>1)

5. If the abscissa and ordinate become a times the original at the same time, the graph will be a times the original (a>1)...

3. Axial symmetry

6. Keep the ordinate unchanged and multiply the abscissa by -1 respectively. The resulting graph is about __________ with the original graph;

7. Keep the abscissa unchanged and multiply the ordinates by -1 respectively. The resulting graph is about __________ with the original graph;

4. Central symmetry

8. Multiply both the abscissa and ordinate by -1, and the resulting graph will be symmetrical to the original graph about the __________ center.

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Update Time: 2024-11-22

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