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.

Tags

CCSS.HSF-IF.C.7A

Front

What are the x-intercepts of a parabola?

Back

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

Tags

CCSS.HSF-IF.C.7A

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.

Tags

CCSS.HSF-IF.C.7A

Front

What does it mean if a parabola opens downwards?

Back

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

Tags

CCSS.HSF-IF.C.7A

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.

Tags

CCSS.HSF-IF.C.7A

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).