# The focus of a parabola is located at 40 and the directrix is located at x 4

## The focus of a parabola

A parabola is a two-dimensional, symmetrical curve, where a line segment joining any two points on the curve would produce a mirrored image of that line segment on the other side of the curve. The focus of a parabola is the point on the curve at which all the lines of symmetry intersect. The directrix is a line that is perpendicular to the axis of symmetry and passes through the focus.

### The focus of parabola is located at 40

A parabola is a two-dimensional mathematical curve that is the locus of points in the plane equidistant from a given line, called the directrix, and a given point, called the focus. The directrix of a parabola can be found by finding the line perpendicular to the slope of the parabola at the focus. The focus can be found by finding the point on the parabola that is equidistant from the directrix.

### The directrix of a parabola is located at x=4

The directrix of a parabola is a straight line that is perpendicular to the axis of symmetry of the parabola. It is used to determine the location of the focus. The directrix is always located on the opposite side of the vertex from the focus. In this example, the vertex is located at (40,0) and the focus is located at (4,0).

## How to find the focus and directrix of a parabola

The focus of a parabola is located at 40 and the directrix is located at x = 4. To find the focus and directrix of a parabola, you need to use the Quadratic Formula. The Quadratic Formula is a mathematical formula used to find the roots of a quadratic equation.

### Use the formula for the focus of a parabola

To find the focus of a parabola, you need to know the location of the vertex and the equation of the directrix. The focus is located at a point on the parabola that is halfway between the vertex and the directrix. You can use the following formula to find the focus:

Focus = (Vertex + Directrix)/2

In this case, the vertex is located at (40, 0) and the directrix is located at x = 4. This means that the focus is located at ((40+4)/2, 0), or at (22, 0).

### Use the formula for the directrix of a parabola

The directrix of a parabola is a line that is perpendicular to the axis of symmetry and passes through the focus. The focus is the point on the parabola where the light rays converge. To find the focus and directrix of a parabola, you need to use the formula for the directrix:

x = -c/2a

where c is the distance from the vertex to the focus and a is the distance from the vertex to the directrix. In this example, c = 40 and a = 4, so the focus is located at (40, 0) and the directrix is located at x = -4.

## What is the focus and directrix of a parabola?

The focus of a parabola is the point at which the parabola converges. The directrix is the line that the parabola is perpendicular to. In this instance, the focus of the parabola is located at 40 and the directrix is located at x=4.

### The focus is the point at which the parabola converges

A parabola is a two-dimensional, mirrored U-shaped curve. It is a symmetrical curve, where one side is the mirror reflection of the other. The focus of a parabola is the point at which the parabola converges. The directrix is the line that the focus is perpendicular to.

### The directrix is the line that the parabola is parallel to

The focus of a parabola is the point on the curve that is closest to the directrix. The directrix is the line that the parabola is parallel to. In this example, the focus is located at (40,0) and the directrix is located at x=4.