How to write the equation of a parabola when given a point that passes through as well

The video tutorial explains how to write the equation of an ellipse when given a vertex, a point, and the axis of symmetry. It starts by identifying the axis of symmetry and determining the direction in which the parabola opens. The instructor then uses the parabola equation to find the vertex and solve for the variable P by plotting points. Finally, the video demonstrates how to calculate P and finalize the equation, ensuring the parabola opens in the correct direction.

What is the axis of symmetry for the given ellipse problem?

• Diagonal axis

• X-axis

• Y-axis

• Z-axis

How do you determine the direction in which the parabola opens?

• By the coordinates of the focus

• By the axis of symmetry

• By the sign of the vertex

• By the value of P

What is the next step after plotting the given points on the parabola?

• Calculate the vertex

• Find the length of the major axis

• Solve for P using the point coordinates

• Determine the axis of symmetry

What is the value of P when calculated using the point (-2, 6)?

• -9

• -4.5

• 9

• 4.5

What is the final form of the equation after substituting the value of P?

• x^2 = 18y

• y^2 = -18x

• x^2 = -18y

• y^2 = 18x