The secret to transforming y=2 (x-1) 2 -3 from a graph to an algebraic y=x ² transformation
The secret to transforming y=2 (x-1) 2 -3 from a graph to an algebraic y=x ² transformation
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The opening of y=2x2 is narrower than y=x2, and after being transformed into a vertex form, according to the principle of "adding up and subtracting down, adding left and subtracting right".
The image with y=2x2 is shifted one unit to the right, resulting in an image with y=2 (x-1) 2. The image with y=2 (x-1) 2 is further shifted downwards by 3 units to obtain the image with y=2 (x-1) 2-3. At this point, the vertex of the parabola is (1, -3)
The opening of y=2x2 is narrower than y=x2, and after being transformed into a vertex form, according to the principle of "adding up and subtracting down, adding left and subtracting right".
The image with y=2x2 is shifted one unit to the right, resulting in an image with y=2 (x-1) 2. The image with y=2 (x-1) 2 is further shifted downwards by 3 units to obtain the image with y=2 (x-1) 2-3. At this point, the vertex of the parabola is (1, -3)
The opening of y=2x2 is narrower than y=x2, and after being transformed into a vertex form, according to the principle of "adding up and subtracting down, adding left and subtracting right".
The image with y=2x2 is shifted one unit to the right, resulting in an image with y=2 (x-1) 2. The image with y=2 (x-1) 2 is further shifted downwards by 3 units to obtain the image with y=2 (x-1) 2-3. At this point, the vertex of the parabola is (1, -3)
The opening of y=2x2 is narrower than y=x2, and after being transformed into a vertex form, according to the principle of "adding up and subtracting down, adding left and subtracting right".
The image with y=2x2 is shifted one unit to the right, resulting in an image with y=2 (x-1) 2. The image with y=2 (x-1) 2 is further shifted downwards by 3 units to obtain the image with y=2 (x-1) 2-3. At this point, the vertex of the parabola is (1, -3)
