Understanding Transformations in Mathematics

What is the first step in understanding transformations?

• Finding the y-intercept

• Identifying the parent equation

• Drawing the graph

• Calculating the slope

In a translation, what does it mean if only the x-coordinate changes?

• It's a horizontal translation

• The graph is stretching

• It's a vertical translation

• The graph is shrinking

What is the term used for the variable on which a function operates?

• Argument

• Parameter

• Coefficient

• Constant

How do you determine the direction of a translation?

• By checking the y-intercept

• By examining the corresponding points

• By looking at the slope

• By calculating the area under the curve

What happens to the y-coordinate in a vertical translation?

• It changes

• It doubles

• It halves

• It remains unchanged

What does a vertical stretch do to a graph?

• Moves it closer to the x-axis

• Moves it away from the x-axis

• Flips it over the x-axis

• Keeps it unchanged

How is a horizontal stretch different from a vertical stretch?

• It does not affect the graph

• It moves the graph closer to the x-axis

• It moves the graph away from the y-axis

• It affects the y-coordinate

What is preserved during a reflection transformation?

• The size and shape

• The color

• The orientation

• The position

Which axis is involved in a vertical reflection?

• The x-axis

• The y-axis

• The z-axis

• The origin

What is the result of reflecting a point over the line y=x?

• The point is halved

• The point is doubled

• The point remains unchanged

• The x and y coordinates are swapped