5.2k views
12 votes
Given a quadratic equation, how can you determine whether the parabola opens up or down?

User Smiech
by
4.5k points

1 Answer

12 votes
Answer:
By whether x^2 has a negative or positive coefficient.

If the parabola opens down, x^2 has a negative sign in front of it.

If the parabola opens up, x^2 does not have a negative.

Step-by-step explanation:
Completely expand a quadratic equation into this polynomial form to find “a”:
ax^2 + bx + c

When “a” is positive, the parabola opens up.

When “a” is negative, the parabola opens down.
User Gladman
by
5.1k points