Function Rules for Transformations of Points

When performing a transformation, the pre-image is the input and the image is the ______.

• output

• image

• domain

• x-values

If the point B (3, 4) is on the pre-image, and then translated using the rule:

f(x,y) = (x-2, y+5) where will B' be located at on the image?

• (4, 3)

• (1, 9)

• (5, -5)

• (8, 2)

If the point B (-10, -8) is on the pre-image, and then translated using the rule:

f(x,y) = (x+3, y-1) where will B' be located at on the image?

• (-11, -5)

• (-13, -7)

• (-7, -9)

• (-8, -10)

If the point B (0, 6) is on the pre-image, and then translated using the rule:

f(x,y) = (x-7, y) where will B' be located at on the image?

• (-7, 6)

• (0, -7)

• (-7, 0)

• (6, -7)

If the point D (1, 5) is on the pre-image, and then reflected using the rule:

f(x,y) = (-x, y) where will D' be located at on the image?

• (-5, 1)

• (0, 5)

• (1, -5)

• (-1, 5)

If the point D (-8, -2) is on the pre-image, and then reflected using the rule:

f(x,y) = (-x, y) where will D' be located at on the image?

• (-2, 8)

• (8, 2)

• (-8, 2)

• (8, -2)

This picture shows the function rule:

f(x,y)=(-x,y)

What transformation has occurred?

• Reflection over the x-axis

• Reflection over the y-axis

If the point M (6, 4) is on the pre-image, and then reflected using the rule:

f(x,y) = (x, -y) where will M' be located at on the image?

• (-4, -6)

• (6, -4)

• (-6, 4)

• (4, -6)

If the point K (-5, -9) is on the pre-image, and then reflected using the rule:

f(x,y) = (x, -y) where will K' be located at on the image?

• (5, 9)

• (5, -9)

• (-5, 9)

• (-9, -5)

This picture shows the function rule:

f(x,y)=(x, -y)

What transformation has occurred?

• Reflection over the x-axis

• Reflection over the y-axis