Function Translations and Reflections

When an image is reflected over the x-axis, what happens to the new coordinates?

• Both the x and y-values change signs.
• The x-value changes signs and the y-value remains the same.
• The coordinate does not change
• The x-value stays the same and the y-value changes signs.

A figure has a vertex at (8, 4) and is reflected over the y-axis.  What is the coordinate after the reflection?

• (8, -4)
• (-8, -4)
• (-8, 4)
• (8, 4)

A figure has a vertex at (-4, -9) and is reflected. The new coordinate is (4, -9).  Was the image reflected over the x-axis or the y-axis?

• x-axis
• y-axis

A figure has a vertex located at (11, -5).  It is reflected and the new coordinate is (11, 5).  Was it reflected over the x-axis or the y-axis?

• x-axis
• y-axis

Fill in the blank.
When a figure is reflected over the x-axis, the __________ stays the same.

• x-value
• y-value

Fill in the blank.
When a figure is reflected over the y-axis, the ____________ stays the same.

• x-value
• y-value

B(-2, -4)
Reflect over the line y = x

• (2, -4)
• (-4, 2)
• (-4, -2)
• (4, 2)

Determine the type of reflection.
A(5, -2)
A'(-5, -2)

• x-axis
• y-axis
• y = x

Determine the type of reflection
A(-4, -3)
A'(-3, -4)

• x-axis
• y-axis
• y = x

∆QRS contains the points: Q(4, 2) R(5, 1) S(3,7). If the triangle is reflected across the y-axis, what will S' be?

• S'(3, 7)
• S'(-3, 7)
• S'(-3, -7)
• S'(3, 7)