Quadratics Vocab Review

Front

The vertex of a parabola is the point where the parabola ___________.

Back

reaches its maximum or minimum value.

Front

The graph of a quadratic is called a ______________.

Back

Parabola.

Front

What is the equation called that is written in the form y=ax^2+bx+c?

Back

quadratic.

Front

Parabolas should always be a __ shaped curve.

Back

u.

Front

If a>0, then the parabola opens __________.

Back

up.

Front

What is the standard form of a quadratic equation?

Back

y = ax^2 + bx + c.

Front

What does the 'a' in the quadratic equation y = ax^2 + bx + c determine?

Back

The direction in which the parabola opens (upward if a > 0, downward if a < 0).

Front

What is the axis of symmetry in a parabola?

Back

A vertical line that divides the parabola into two mirror-image halves.

Front

What is the formula to find the vertex of a parabola given by y = ax^2 + bx + c?

Back

Vertex (h, k) where h = -b/(2a) and k = f(h).

Front

What is the significance of the discriminant in a quadratic equation?

Back

It determines the nature of the roots: if > 0, two real roots; if = 0, one real root; if < 0, no real roots.