Parabola (Equations, lines and points)

Front

What is a parabola?

Back

A parabola is a symmetrical, U-shaped curve that is defined as the set of all points in a plane that are equidistant from a fixed point (the focus) and a fixed line (the directrix).

Front

What is the standard form of a parabola that opens upwards?

Back

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point on the parabola, depending on its orientation. It is the point (h,k) in the standard form of the parabola.

Front

How do you find the y-intercept of a linear equation?

Back

To find the y-intercept, set x=0 in the equation and solve for y.

Front

What is the focus of a parabola?

Back

The focus is a fixed point located inside the parabola, which helps define its shape. It is located at a distance p from the vertex along the axis of symmetry.

Front

What is the directrix of a parabola?

Back

The directrix is a fixed line that is perpendicular to the axis of symmetry of the parabola and is located at a distance p from the vertex, opposite the focus.

Front

What is the equation of a parabola that opens to the right?

Back

Front

How do you determine the direction a parabola opens?

Back

If the coefficient of the squared term is positive, the parabola opens upwards or to the right; if negative, it opens downwards or to the left.

Front

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

Back

The value 'p' represents the distance from the vertex to the focus and also from the vertex to the directrix.

Front

How do you find the vertex from the standard form of a parabola?

Back