Understanding Reflections in Mathematics

What is the main focus of a reflection in geometry?

• Scaling a shape by a factor

• Reflecting a point across an axis

• Rotating a shape around a point

• Translating a shape along a line

In a vertical reflection, over which axis does the reflection occur?

• Y-axis

• X-axis

• Z-axis

• Diagonal axis

What indicates a horizontal reflection in an equation?

• A positive sign affecting the argument

• A negative sign outside the equation

• A negative sign affecting the argument

• A positive sign outside the equation

What does a negative sign outside the whole equation indicate?

• A vertical reflection

• A horizontal translation

• A vertical translation

• A horizontal reflection

What is the term used for the basic function in mathematics?

• Inverse function

• Parent function

• Child function

• Derived function

How do you express a vertical reflection in terms of basic functions?

• r(x) = -x

• r(x) = g(-x)

• r(x) = -g(x)

• r(x) = g(x)

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

• It becomes the opposite

• It remains the same

• It doubles

• It becomes zero

In a horizontal reflection, what happens to the x-coordinate?

• It doubles

• It becomes the opposite

• It remains the same

• It becomes zero

What is the coordinate notation for a vertical reflection of point (x, y)?

• (x, -y)

• (-x, y)

• (-x, -y)

• (y, x)

Which of the following is true for a horizontal reflection?

• The y-coordinate changes sign

• Both coordinates change sign

• Neither coordinate changes sign

• The x-coordinate changes sign