How to graph a parabola when p is a fraction

The video tutorial explains how to identify the HRK values in a parabolic equation and determine the vertex. It guides through graphing the vertex, understanding the values of K and H, calculating the P value, and determining the direction of the parabola. Finally, it covers how to find the focus and directrix of the parabola.

What is the vertex of the parabola given by the equation y - 3 = (x - 1)^2?

• (1, -3)

• (1, 3)

• (-1, 3)

• (-1, -3)

If the vertex of a parabola is at (1, -3), what is the value of P if 4P = 1?

• 1

• 1/4

• 2

• 1/2

In which direction does the parabola open if the variable y is squared and P is positive?

• Right

• Up

• Left

• Down

What is the focus of the parabola if the vertex is at (1, -3) and P = 1/4?

• (1, 3)

• (3/4, -3)

• (1, -3)

• (5/4, -3)

What is the equation of the directrix if the vertex is at (1, -3) and P = 1/4?

• y = 3

• y = -3

• x = 5/4

• x = 3/4