Question

hi is reflected across the x-axis to produce hi.
write the rule for the reflection.
(x, y) → (□, □)

Explanation:

Step1: Recall reflection rule

When reflecting a point \((x,y)\) across the \(x -\)axis, the \(x -\)coordinate remains the same, and the \(y -\)coordinate changes its sign.

Step2: Verify with given points

For point \(H(0,4)\), after reflection \(H'(0,- 4)\). Using the rule \((x,y)\to(x,-y)\), when \(x = 0,y = 4\), we get \((0,-4)\). For point \(I(-7,2)\), after reflection \(I'(-7,-2)\). Using the rule \((x,y)\to(x,-y)\), when \(x=-7,y = 2\), we get \((-7,-2)\).

Answer:

\((x,y)\to(x,-y)\)