Transformation Algebraic Rules

What is the algebraic rule for the transformation shown?

• (x, y) -> (x, -y)

• (x, y) -> (-x, y)

• (x, y) -> (-x, -y)

• (x, y) -> (y, -x)

Tags

CCSS.HSG.CO.B.6

The rule for rotation of 90 degrees counterclockwise is

(x, y) → ___

• (y , -x)

• (-y , x)

• (x , -y)

• (-x , y)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

The rule for rotation of 180 degrees is

(x, y) → ___

• (-y , x)

• (-x , -y)

• (y , -x)

• (-y , -x)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

The rule for rotation of 270 degrees counterclockwise is

(x, y) → ___

• (y , x)

• (-y , x)

• (y , -x)

• (x , -y)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

g(x) can be thought of as a translated (shifted) version of f(x). g(x) = f(x (a)   ) ​ (b)  

• -

• +2

• -6

• +6

• -2

• A

• B

• C

• D

Let f be the parent absolute value function f(x) = |x|. Match each function below with its transformation of f.

• Horizontal translation

• Horizontal stretch

• Vertical stretch

• Vertical translation

• a

• b

• c

• d

• F

• G

• H

• J

Which equation transforms f(x) = x to a horizontal stretch by a factor of 2, a reflection over the x axis, and a shift down 4?

• f(-2x - 4)

• f(-1/2x) - 4

• -f(2x) - 4

• -f(1/2x) - 4