Focus, Vertex and Directrix Day 2

Front

What is the vertex of a parabola?

Back

The vertex is the point where the parabola changes direction, located halfway between the focus and the directrix.

Front

What is the focus of a parabola?

Back

The focus is a fixed point located inside the parabola, where all the reflected rays converge.

Front

What is the directrix of a parabola?

Back

The directrix is a fixed line used in the definition of a parabola, which is equidistant from the focus.

Front

True or False: The vertex is halfway between the focus and directrix.

Back

True

Front

If the vertex of a parabola is (5,0), where is the focus if the parabola opens upwards?

Back

(5,2)

Front

True or False: The focus is always inside the parabola.

Back

True

Front

If the directrix is y = 4 and the focus is at (3, 0), what is the value of p?

Back

-2

Front

What is the relationship between the focus, vertex, and directrix in a parabola?

Back

The vertex is equidistant from the focus and the directrix.

Front

What does 'p' represent in the context of a parabola?

Back

'p' represents the distance from the vertex to the focus or the vertex to the directrix.

Front

What is the axis of symmetry in a parabola?

Back

The axis of symmetry is a vertical line that passes through the vertex and divides the parabola into two mirror-image halves.