Using horizontal stretching to graph an ABS equation, y = (1/2) |x + 2| + 1

The video tutorial explains the transformation of a parent graph, specifically the absolute value function. It covers the effects of different parameters, such as 'a', 'H', and 'K', on the graph's shape and position. The tutorial demonstrates how 'a' affects the graph's stretch, while 'H' and 'K' shift the graph horizontally and vertically. The video concludes with a practical example of graphing the transformed function.

What is the equation of the parent graph discussed in the video?

• Y = X + 2

• Y = 1/X

• Y = |X|

• Y = X^2

When the absolute value of 'a' is less than one, what happens to the graph?

• It stretches horizontally

• It shifts upwards

• It compresses horizontally

• It stretches vertically

How does the parameter 'H' affect the graph?

• It compresses the graph vertically

• It shifts the graph horizontally

• It stretches the graph horizontally

• It shifts the graph vertically

What is the new vertex of the graph after applying the transformations?

• (1, 2)

• (2, -1)

• (-2, 1)

• (0, 0)

Which parameter is responsible for shifting the graph upwards?

• a

• H

• K

• X