Question

question 10
1 pts
which of the following is the correct mapping for shape a (quadrant i) to shape b (quadrant ii)?
image of coordinate grid with two shapes
options:

• $(x,y) \to (-x,-y)$
• $(x,y) \to (x - 3,y)$
• $(x,y) \to (-x,y)$
• $(x,y) \to (x,-y)$

question 11
1 pts

Explanation:

Step1: Analyze Quadrant Changes

Shape A is in Quadrant I (\(x>0, y>0\)), Shape B is in Quadrant II (\(x<0, y>0\)). So \(x\) becomes negative, \(y\) stays positive.

Step2: Evaluate Each Mapping

• \((x,y)\to(-x,-y)\): Leads to Quadrant III (\(x<0,y<0\)) – incorrect.
• \((x,y)\to(x - 3,y)\): Shifts left, but \(x\) remains positive (Quadrant I) – incorrect.
• \((x,y)\to(-x,y)\): \(x\) negative, \(y\) positive (Quadrant II) – correct.
• \((x,y)\to(x,-y)\): Leads to Quadrant IV (\(x>0,y<0\)) – incorrect.

Answer:

C. \((x, y) \to (-x, y)\) (assuming the third option is labeled C; if original labels are A - D, adjust accordingly. From the options, the third option: \((x, y) \to (-x, y)\))