Graph a horizontal parabola when the distance to the focus is a fraction

The video tutorial explains how to graph a parabola by transforming its equation into standard form. It covers identifying the vertex, focus, and directrix, and determining the direction of the parabola's opening. The process involves manipulating the equation, calculating key values, and understanding the relationship between the vertex, focus, and directrix.

What is the first step in converting an equation into the standard form of a parabola?

• Identify the squared variable

• Find the value of P

• Calculate the focus

• Determine the directrix

How do you remove a coefficient in front of the squared term in a parabola equation?

• Add the reciprocal of the coefficient

• Divide by the coefficient

• Multiply by the reciprocal of the coefficient

• Subtract the coefficient

What does the value of P represent in the context of a parabola?

• The width of the parabola

• The length of the axis of symmetry

• The distance from the vertex to the focus

• The distance from the vertex to the directrix

In which direction does the parabola open if the value of P is positive?

• To the left

• Downwards

• To the right

• Upwards

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

• The directrix is parallel to the axis of symmetry

• The vertex is equidistant from the focus and directrix

• The focus is twice the distance from the vertex as the directrix

• The vertex is at the midpoint of the focus and directrix