Determine the vertex of a quadratic in vertex form and determine max or min

The video tutorial explains the quadratic equation y = X^2 and its transformations, including shifts and vertical stretches. It details how these transformations affect the graph's vertex, moving it from (0, 0) to (-1, 3). The video also discusses the graph's appearance and confirms that the vertex is an absolute minimum point.

What transformation is applied to the graph of y = X^2 in the first section?

• Shift 2 units to the left and 3 units up

• Shift 1 unit to the right and 3 units up

• Shift 1 unit to the left and 3 units down

• Shift 2 units to the right and 3 units down

How does the vertical stretch affect the vertex of the graph?

• It moves the vertex to the right

• It reflects the graph over the X-axis

• It moves the vertex upwards

• It does not affect the vertex

What is the new position of the vertex after the transformations?

• (3, -1)

• (1, -3)

• (-1, 3)

• (0, 0)

What is the nature of the vertex in the transformed graph?

• Absolute minimum

• Neither maximum nor minimum

• Absolute maximum

• Both maximum and minimum

Which of the following is true about the graph's transformation?

• The graph is reflected over the Y-axis

• The graph is compressed horizontally

• The graph is stretched vertically and shifted

• The graph is rotated 90 degrees