Describe transformations of a function

The video tutorial covers the transformation of functions, specifically from F(x) to G(x), using shifts and reflections. It explains how to simplify expressions and factor them, focusing on vertical compression and multiplication. The tutorial also discusses the reflection of graphs across the Y-axis and the impact of shifts on graph positions.

What transformation is needed to move a point one unit left and two units up?

• Shift two units right and one unit up

• Shift one unit left and two units up

• Shift one unit right and two units down

• Shift two units left and one unit down

What is the result of changing a multiplication factor from 5 to 3 in terms of vertical transformation?

• Vertical compression by a factor of 5/3

• Vertical stretch by a factor of 5

• Vertical compression by a factor of 3/5

• Vertical stretch by a factor of 3

How do you determine if a transformation is a vertical compression?

• If the factor is negative

• If the factor is greater than 1

• If the factor is less than 1

• If the factor is equal to 1

What type of reflection occurs when a graph is reflected over the Y-axis?

• Horizontal reflection

• Vertical reflection

• Reflection over the X-axis

• No reflection

If a graph is shifted 2 units to the right and then 1 unit to the left, what is the net shift?

• 3 units to the right

• No net shift

• 1 unit to the left

• 1 unit to the right