Key Attributes of Quadratics

Front

What are the solutions/roots/zeros of a quadratic function?

Back

The values of x where the quadratic function intersects the x-axis.

Front

How many solutions can a quadratic function have?

Back

A quadratic function can have zero, one, or two solutions.

Front

What is the vertex of a parabola?

Back

The highest or lowest point of the parabola, depending on its orientation.

Front

What is the axis of symmetry in a parabola?

Back

A vertical line that divides the parabola into two mirror-image halves, passing through the vertex.

Front

Define Y-intercept in the context of a parabola.

Back

The point where the parabola intersects the y-axis.

Front

If a parabola opens upwards, what can be said about its vertex?

Back

The vertex is the minimum point of the parabola.

Front

If a parabola opens downwards, what can be said about its vertex?

Back

The vertex is the maximum point of the parabola.

Front

What is the standard form of a quadratic equation?

Back

y = ax^2 + bx + c, where a, b, and c are constants.

Front

What does the 'a' value in the quadratic equation affect?

Back

The direction and width of the parabola; if a > 0, it opens upwards; if a < 0, it opens downwards.

Front

How do you find the axis of symmetry from the quadratic equation in standard form?

Back

x = -b/(2a).