Graphing a quadratic function in vertex form with vertical translation

The video tutorial explains how to graph the quadratic equation y = X^2 + 1 using vertex form. It covers the concept of transformations, focusing on the K value's role in shifting the graph vertically. The process of graphing is demonstrated by identifying the vertex and shifting points accordingly. The tutorial also discusses the axis of symmetry and intercepts, concluding with a summary of the graphing process using transformations.

What transformation occurs to the graph of y = X^2 + 1 due to the K value?

• The graph shifts down one unit.

• The graph shifts left one unit.

• The graph shifts right one unit.

• The graph shifts up one unit.

When graphing y = X^2 + 1, what is the new vertex after the transformation?

• (1, 1)

• (0, 1)

• (1, 0)

• (0, 0)

What remains unchanged in the graph of y = X^2 + 1 due to the a value being 1?

• The graph is rotated.

• The graph is neither stretched nor compressed.

• The graph is compressed.

• The graph is stretched.

What is the axis of symmetry for the graph of y = X^2 + 1?

• y = 0

• x = 0

• x = 1

• y = 1

Where does the graph of y = X^2 + 1 intersect the Y-axis?

• (0, 1)

• (0, 0)

• (1, 0)

• (1, 1)