Learn how to graph a quadratic with a reflection and horizontal shift

The video tutorial explains how to graph quadratic equations in vertex form. It covers identifying the parameters A, H, and K, finding the axis of symmetry, and determining the vertex. The tutorial also discusses how the value of A affects the direction in which the graph opens and how to calculate additional points to complete the graph. The process involves using a table of values and reflecting points to ensure the graph is accurate.

What is the first step in graphing a parabola in vertex form?

• Calculating the Y-intercept

• Drawing the axis of symmetry

• Plotting the vertex on the graph

• Identifying the values of A, H, and K

How do you determine the axis of symmetry for a parabola in vertex form?

• By using the value of X

• By using the value of K

• By using the value of H

• By using the value of A

What is the vertex of a parabola with H = -5 and K = 0?

• (5, 0)

• (0, -5)

• (-5, 0)

• (0, 5)

In which direction does the parabola open if A is less than zero?

• Downwards

• To the right

• Upwards

• To the left

What effect does a negative A value have on the graph of a parabola?

• It shifts the graph to the left

• It shifts the graph to the right

• It opens the graph downwards

• It opens the graph upwards

How do you find additional points on a parabola?

• By using the Y-intercept

• By reflecting the vertex

• By selecting values around the axis of symmetry and calculating Y

• By drawing a horizontal line

What is the purpose of reflecting points over the axis of symmetry?

• To find the Y-intercept

• To calculate the slope

• To complete the parabola

• To determine the vertex