Write the equation of the parabola for conic sections given vertex and focus (mistake)

The video tutorial explains how to write the equation of a parabola given its vertex and focus. It begins by identifying whether the axis of symmetry is horizontal or vertical based on the vertex and focus positions. The tutorial then formulates the parabola equation using these points and calculates the value of P, the distance from the vertex to the focus. Finally, it demonstrates how to convert the equation into standard form.

What is the first step in writing the equation of a parabola when given the vertex and focus?

• Find the midpoint of the vertex and focus

• Determine the direction of the parabola

• Calculate the distance between vertex and focus

• Identify the axis of symmetry

Which formula is used to write the equation of a parabola with a horizontal axis of symmetry?

• x - h^2 = 4p(y - k)

• y^2 = 4p(x - h)

• y - k^2 = 4p(x - h)

• x^2 = 4p(y - k)

How do you determine the value of 'p' in the parabola equation?

• By calculating the distance from the vertex to the focus

• By finding the midpoint between the vertex and focus

• By measuring the width of the parabola

• By using the coordinates of the vertex

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

• It determines the width of the parabola

• It indicates the direction of the parabola

• It represents the distance from the vertex to the focus

• It is used to calculate the vertex

What is the final step in converting the parabola equation to standard form?

• Multiply out the terms

• Add the vertex coordinates

• Divide by the coefficient of x

• Subtract the focus coordinates