Using completing the square to identify focus, directrix and vertex of a parabola

The video tutorial explains how to identify the vertex, focus, and directrix of a parabola. It covers the process of converting a quadratic equation from standard form to vertex form by completing the square. The tutorial details how to create a perfect square trinomial and use it to identify the vertex. It also explains how to find the focus and directrix by calculating the P value and adjusting the vertex coordinates accordingly.

What is the first step in transitioning from standard form to vertex form?

• Completing the square

• Identifying the focus

• Finding the directrix

• Calculating the value of P

When completing the square, what value is added to both sides of the equation?

• B squared

• B times C

• B divided by 2, squared

• B divided by 2

In the vertex form, what do the variables H and K represent?

• The axis of symmetry

• The coordinates of the vertex

• The coefficients of X and Y

• The focus and directrix

How is the value of P determined in the context of conic sections?

• By dividing the coefficient of X by 4

• By subtracting the vertex from the focus

• By setting 4P equal to 1

• By adding the directrix to the vertex

What does a positive value of P indicate about the direction of the graph?

• The graph opens upwards

• The graph opens to the right

• The graph opens to the left

• The graph opens downwards

How do you find the focus of a conic section?

• By subtracting P from the X-coordinate of the vertex

• By adding P to the Y-coordinate of the vertex

• By subtracting P from the Y-coordinate of the vertex

• By adding P to the X-coordinate of the vertex

What is the equation of the directrix in terms of K and P?

• X = K - P

• Y = K + P

• Y = K - P

• X = K + P