for the equation y=ax^2 how does the sign of coefficient affect the graph of the curve

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25-11-2021
Mathematics

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for the equation y=ax^2 how does the sign of coefficient affect the graph of the curve

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djtwinx017 djtwinx017 · Answer 1 · 2021-11-25T06:41:24+01:00

Answer:

The sign of the coefficient determines the direction of where the graph opens.

Step-by-step explanation:

Given the quadratic equation, y = ax²:

The sign of the coefficient, a, affects the graph of the curve as it determines the direction of where the graph opens.

If the value of a is negative (a < 0), then the graph of the parabola opens downward.

If the value of a is positive (a > 1), then the graph of the parabola opens upward.

Please see the attached screenshots of the graphed equations (y = -x², and y = x²), to show the effects of changing the sign of a quadratic equation's coefficient.