What is the main difference between the graphs of y= 4-x^2 and 2y= 4-x^2?
Im confused with wether I would need to move the 2 over to the right side, and if i need to multiple that number by 4?
:/
Im confused with wether I would need to move the 2 over to the right side, and if i need to multiple that number by 4?
:/
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first you need to once again isolate y by itself so divide both sides by 2
and therefore y=2-(x^2/2) or y=2-.5x^2 since dividing by 2 is the same as multiplying by .5.
Now as you can see, the graph will only be shifted two to the left instead of 4, it will be flipped (reflected) over the y-axis just as it was before, but it will now have a horizontal stretch by a factor of 2.
and therefore y=2-(x^2/2) or y=2-.5x^2 since dividing by 2 is the same as multiplying by .5.
Now as you can see, the graph will only be shifted two to the left instead of 4, it will be flipped (reflected) over the y-axis just as it was before, but it will now have a horizontal stretch by a factor of 2.
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you have y1 = 4 - x² vs y2 = [1 /2 ] (4 - x² )...thus y2 is a vertical compaction of y1 { factor 1/2 }
same zeros , same ' behavior '
same zeros , same ' behavior '