Algebraic Description of Transformation

Which of the following is the algebraic representation for the translation of N(-6, -8) to N'(-5, 2)?

• (x, y) $\rightarrow$ (x - 1, y + 10)

• (x, y) $\rightarrow$ (x + 1, y - 10)

• (x, y) $\rightarrow$ (x - 1, y - 10)

Identify the correction verbal description & algebraic representation for the graph shown.

• (x - 5, y - 4)

• 5 units right, 4 units down

• (x + 5, y - 4)

• 5 units left, 4 units down

Match each representation of a transformation to its correct algebraic rule from the bank below.

Answer explanation

The preimage is located in quadrant IV. The rectangle translated 10 units to the left and 9 units down.

Match the transformation to the its correct algebraic rule.

Answer explanation

Orientation of the figure and vertices changed, so the triangle was reflected, specifically over the y-axis.

What is the algebraic rule for the transformation?

Answer explanation

The preimage is located in quadrant I. The orientation's figure changed, but the vertices stayed the same. The figure rotated 90 degrees clockwise.

Describe the transformation.

• Translated 3 units up

• Rotated 90 degrees clockwise

• Reflected over the y-axis

• Reflected over the x-axis

Answer explanation

Analyze the coordinates, notice that the x-values stayed the same, and the y-values are now opposite. Based on this observation, the figure was reflected over the x axis.

What is the algebraic rule of the transformation.

Answer explanation

Analyze the coordinates, notice that the x-values stayed the same, and the y-values are now opposite. Based on this observation, the figure was reflected over the x axis.

Write the algebraic rule of the transformation.

Answer explanation

The orientation of the figure and vertices is preserved. The figure was translated down from quadrant II to III.

Which of the following is the correct

algebraic representation for a translation 8 units

right and 4 units down?

• (x + 8, y – 4)

• (x – 4, y + 8)

• (x – 8, y + 4)

• (8x, 4y)

Which algebraic representation shows the effect that a reflection over the x-axis will have on the coordinates of a figure?

• (x, -y)

• (-x, y)

• (-x, -y)

• (-y, x)