Parts of Parabolas

Front

What divides the parabola into 2 perfect halves?

Back

Axis of Symmetry

Front

How many zeros does a standard parabola have?

Back

A standard parabola can have 0, 1, or 2 zeros.

Front

What are the x-intercepts of a parabola?

Back

The x-intercepts are the points where the parabola crosses the x-axis.

Front

What is the vertex of a parabola?

Back

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

Front

What does it mean if a parabola opens upwards?

Back

If a parabola opens upwards, it has a minimum value at its vertex.

Front

What does it mean if a parabola opens downwards?

Back

If a parabola opens downwards, it has a maximum value at its vertex.

Front

How can you find the axis of symmetry of a parabola given its equation?

Back

The axis of symmetry can be found using the formula x = -b/(2a) from the quadratic equation y = ax^2 + bx + c.

Front

What is the standard form of a parabola's equation?

Back

The standard form is y = ax^2 + bx + c.

Front

What is the significance of the 'a' value in the parabola's equation?

Back

The 'a' value determines the direction the parabola opens and its width.

Front

What are the coordinates of the vertex in the vertex form of a parabola?

Back

In vertex form, y = a(x-h)^2 + k, the vertex is at the point (h, k).