# Algebra

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How can I tell what direction this parabola open up
-2x^2 +16x+24y-224=0
We just started this in class today do I need to change this into another format

• Algebra -

The leading coefficient tells the story.

The leading coefficient of a polynomial is the coefficient (number) associated with the variable of the highest power, in this case, x².

If the leading coefficient (-2) is negative, it is concave down, i.e. it opens downwards. If the leading coefficient is positive, it is concave up.

An easy way to remember is the concavity follows the same direction along the y-axis as the leading coefficient. Positive => upwards, negative => downwards.

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