Q: How does the coefficient of a affect the way the parabola opens?

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Nose points right, opens to the left.

In that case it opens upwards.

right

It is like the letter U.

down

Related questions

Nose points right, opens to the left.

In that case it opens upwards.

DOWN!

LEFT

The given terms can't be an equation without an equality sign but a negative parabola opens down wards whereas a positive parabola opens up wards.

If a is greater than zero then the parabola opens upward.

right

It is like the letter U.

down

Opens downward.

left

Upwards: it is cup shaped, not cap shaped.