Transformations: Dilations and Reflections

The video tutorial covers the concepts of dilations and reflections in coordinate geometry. It explains how dilations stretch or squash graphs, affecting either x or y values depending on the axis of dilation. Reflections involve flipping coordinates across the x or y axis. The tutorial provides examples of these transformations on points and equations, demonstrating systematic approaches to applying them.

What does a reflection in geometry typically involve?

• Rotating a shape around a point

• Translating a shape along a line

• Swapping coordinates or flipping a function

• Changing the size of a shape

What happens to the y-values during a dilation from the x-axis?

• They are added to the x-values

• They are multiplied by a factor

• They remain unchanged

• They are divided by a factor

In a dilation from the y-axis, which values are affected?

• Only x-values

• Both x and y-values

• Neither x nor y-values

• Only y-values

What is the main difference between dilations and translations?

• Neither change size nor position

• Both change size and position

• Dilations change position, translations change size

• Dilations change size, translations change position

How does a reflection in the x-axis affect a point's coordinates?

• It changes both coordinates

• It changes the y-coordinate

• It changes the x-coordinate

• It does not change any coordinates

What is the result of a reflection in the y-axis on a point's coordinates?

• Neither coordinate is changed

• Both coordinates are negated

• The y-coordinate is negated

• The x-coordinate is negated

During a dilation of factor 4 from the x-axis, what happens to the y-value?

• It remains the same

• It is added to 4

• It is multiplied by 4

• It is divided by 4

In a dilation of factor 4 from the y-axis, what happens to the x-value?

• It is added to 4

• It remains the same

• It is multiplied by 4

• It is divided by 4

What is the transformed equation of y = √(2x) after a dilation of factor 1/2 from the y-axis?

• y = √(2x/2)

• y = √(x)

• y = √(4x)

• y = √(x/2)

How does a dilation of factor 5 from the y-axis affect the equation of a graph?

• It divides the y-term by 5

• It multiplies the x-term by 5

• It divides the x-term by 5

• It multiplies the y-term by 5