Given the equation of an parabola, find the vertex, focus and directrix

The video tutorial explains how to solve for P in a mathematical equation by eliminating coefficients of the squared term. It then guides through identifying the vertex and determining the graph's orientation, whether it opens to the right or left. The tutorial further explains how to find the focus and directrix, emphasizing the importance of plotting for better visualization.

What is the value of P after solving the equation?

• 5/16

• 16/5

• 4/5

• 1/5

Where is the vertex of the parabola located?

• (1,1)

• (0,0)

• (4/5,0)

• (-4/5,0)

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

• By the value of H

• By the value of K

• By the value of the directrix

• By the value of P

What is the focus of the parabola if P is 4/5?

• (-4/5,0)

• (0,4/5)

• (4/5,0)

• (0,0)

What is the equation of the directrix for this parabola?

• X = 4/5

• Y = -4/5

• Y = 4/5

• X = -4/5