Question
what is the end behavior of y=-3x^2 in quadrents
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GPT 3.5
The end behavior of y = -3x^2 in quadrants can be determined by looking at the exponent, which is 2.
In the first quadrant (x > 0, y > 0), as x approaches positive infinity, y approaches negative infinity, meaning the graph is heading downwards toward the negative y-axis.
In the second quadrant (x < 0, y > 0), as x approaches negative infinity, y also approaches negative infinity, so the graph is heading downwards toward the negative y-axis.
In the third quadrant (x < 0, y < 0), as x approaches negative infinity, y approaches positive infinity, so the graph is heading upwards toward the positive y-axis.
In the fourth quadrant (x > 0, y < 0), as x approaches positive infinity, y approaches positive infinity, so the graph is also heading upwards toward the positive y-axis.
Overall, regardless of which quadrant we are in, the end behavior of y = -3x^2 is downwards as x approaches positive or negative infinity.
In the first quadrant (x > 0, y > 0), as x approaches positive infinity, y approaches negative infinity, meaning the graph is heading downwards toward the negative y-axis.
In the second quadrant (x < 0, y > 0), as x approaches negative infinity, y also approaches negative infinity, so the graph is heading downwards toward the negative y-axis.
In the third quadrant (x < 0, y < 0), as x approaches negative infinity, y approaches positive infinity, so the graph is heading upwards toward the positive y-axis.
In the fourth quadrant (x > 0, y < 0), as x approaches positive infinity, y approaches positive infinity, so the graph is also heading upwards toward the positive y-axis.
Overall, regardless of which quadrant we are in, the end behavior of y = -3x^2 is downwards as x approaches positive or negative infinity.
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