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Which direction does the parabola defined by the equation (x+4)²=8(y-6) open?

a.opens down
b.opens left
c.opens right
d,opens up

1 Answer

7 votes

Final answer:

The parabola defined by the equation (x+4)²=8(y-6) opens upwards.

Step-by-step explanation:

The parabola defined by the equation (x+4)²=8(y-6) opens upwards. To determine the direction of the parabola, we can look at the coefficient of the x² term in the equation. If this coefficient is positive, the parabola opens upwards, and if it is negative, the parabola opens downwards. In this case, the coefficient of the x² term is positive, so the parabola opens upwards.

User Vignesh Jayavel
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