Graphing a horizontal parabola & determining the important characteristics

The video tutorial covers the process of graphing parabolas, focusing on determining the direction of opening, finding the vertex and axis of symmetry, and using the focus and directrix. It also discusses verifying points and using reflection to complete the graph.

What determines if a parabola opens up or down?

• The constant term

• The squared variable

• The coefficient of the linear term

• The axis of symmetry

How do you find the vertex of a parabola with a horizontal axis of symmetry?

• By using the formula (H, K)

• By finding the midpoint of the parabola

• By calculating the average of the roots

• By using the formula (K, H)

What is the axis of symmetry for a horizontal parabola?

• y = H

• x = K

• y = K

• x = H

If 'a' is positive in a horizontal parabola, which direction does it open?

• Down

• Right

• Up

• Left

What is the formula for the focus of a horizontal parabola?

• K + 1/4A, H

• K, H + 1/4A

• H + 1/4A, K

• H, K + 1/4A

How can you verify points on a parabola?

• By substituting them into the parabola's equation

• By comparing them to the focus

• By checking if they lie on the axis of symmetry

• By measuring their distance from the vertex

What technique can be used to find additional points on a parabola?

• Using the vertex

• Using reflection over the axis of symmetry

• Using the focus

• Using the directrix