Graphing a quadratic with a horizontal shift

The video tutorial explains how to graph a quadratic equation using the vertex form. It covers the roles of parameters K, A, and H, emphasizing that K and A are not present in this example, so the graph is not shifted vertically or stretched. The focus is on the parameter H, which shifts the graph horizontally. The tutorial demonstrates how to graph the equation by identifying the vertex and shifting the graph accordingly. The instructor also addresses questions and ensures understanding of the graphing process.

What does the absence of a K value in the vertex form equation indicate about the graph?

• The graph will be shifted down.

• There will be no vertical shift.

• The graph will be flipped over the X-axis.

• The graph will be shifted up.

In the vertex form equation, what does the H value represent?

• The horizontal shift of the graph.

• The reflection over the Y-axis.

• The vertical stretch of the graph.

• The vertical shift of the graph.

If the vertex is at (4, 0), what does this tell us about the graph's shift?

• The graph is shifted 4 units down.

• The graph is shifted 4 units up.

• The graph is shifted 4 units to the right.

• The graph is shifted 4 units to the left.

What is the first step in graphing the function with the new vertex?

• Reflect the graph over the X-axis.

• Stretch the graph horizontally.

• Identify the new vertex.

• Shift the graph vertically.

How do you determine the direction of the graph's horizontal shift?

• By the opposite sign of H.

• By the value of A.

• By the sign of K.

• By the value of X.