Explain how you could determine the sign of the constant a from the appearance of the parabola. If the parabola opens upwards, the sign of the constant a is positive; if the parabola opens downwards, the sign of the constant a is negative. Draw an example of a positive a parabola and a negative a parabola: Explain how you could determine the sign of the constant c from the appearance of the parabola. If the parabola has its y-intercept on the positive y-axis, the sign of the constant c is positive; if the parabola has its y-intercept on the negative y-axis, the sign of the constant c is negative. Draw an example of a positive c parabola and a negative c parabola: Explain how you could determine the sign of the discriminant from the appearance of the parabola. If the parabola crosses the x-axis, the sign of its discriminant is positive (Δ>0); if the parabola only touches the x-axis, its discriminant is equal to zero (Δ=0); if the parabola neither crosses nor touches the the x-axis, the sign of its discriminant is negative (Δ<0). Draw an example of a positive discriminant parabola, a negative discriminant parabola, and a zero discriminant parabola:
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