Finding the standard form of a parabola given vertex and focus

What is the first step in determining which formula to use for a parabola?

• Calculate the distance between the vertex and focus.

• Determine the axis of symmetry.

• Plot the points of the vertex and focus.

• Identify the directrix of the parabola.

What is the definition of a parabola?

• A curve that is equidistant from two lines.

• A line that is equidistant from two points.

• A shape that opens only upwards.

• A curve that is equidistant from a point and a line.

What is the significance of the focus in a parabola?

• It is the midpoint of the directrix.

• It is the point around which the parabola is symmetric.

• It determines the width of the parabola.

• It is contained within the parabola.

How do you determine if a parabola is vertical?

• The vertex and focus have the same Y coordinate.

• The vertex and focus have the same X coordinate.

• The parabola opens to the left or right.

• The parabola is symmetric about the Y-axis.

What is the value of 'P' in the parabola's equation?

• The distance from the focus to the directrix.

• The distance from the vertex to the axis of symmetry.

• The distance from the vertex to the focus.

• The distance from the vertex to the directrix.

How is the standard form of a parabola's equation derived?

• By using the distance between the focus and directrix.

• By using the axis of symmetry and the vertex.

• By using the vertex and the value of 'P'.

• By using the focus and the directrix.

What is the final step in simplifying the parabola's equation?

• Divide each term by the coefficient of Y.

• Add the constant term to both sides.

• Multiply each term by the coefficient of X.

• Subtract the constant term from both sides.