Compositions of Transformations Quick Check 5 of 55 of 5 Items Question Use the image to answer the question. Identify the sequence of transformations that will carry ΔABC→ΔA"B"C" . Give your answer in the form of a composition transformation mapping. (1 point) Responses (x,y)→(x,−y+4) left parenthesis x comma y right parenthesis right arrow left parenthesis x comma negative y plus 4 right parenthesis (x,y)→(x−4,−y) left parenthesis x comma y right parenthesis right arrow left parenthesis x minus 4 comma negative y right parenthesis (x,y)→(x+4,−y) left parenthesis x comma y right parenthesis right arrow left parenthesis x plus 4 comma negative y right parenthesis (x,y)→(x,−y−4) open paren x comma y close paren rightarrow open paren x comma negative y minus 4 close paren Skip to navigation page 14 of 14 Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.

Answer 1

To determine the composition of transformations that maps ΔABC to ΔA"B"C", we need to analyze the proposed transformations one by one. Since I don't have access to the image you're referring to, I'll guide you on how to think about the transformations.

1. Reflection: Reflections can be over the x-axis, y-axis, or another line. If the shape appears to be upside down or flipped, this is likely to be a reflection.

2. Translation: Translations involve moving the shape a certain distance in a specified direction. This can be left, right, up, or down.

3. Combination: Often, the transformation may involve combining a reflection and a translation.

You would follow these steps in determining the correct transformation:

• Identify visually how ΔABC relates to ΔA"B"C". Look for direction (left/right, up/down), and if it seems flipped or mirrored.
• Check the coordinate changes proposed in each transformation option provided.

Once you analyze the above aspects in relation to the provided transformation formulas, you should select the one that accurately describes the transformation sequence from ΔABC to ΔA"B"C".

If one of the transformations reflects over the x-axis and then translates up/down or left/right, that would be your answer. The correct choice will depend on how ΔA"B"C" is oriented compared to ΔABC.