Question

graph the image of ( h(4,-4) ) after a rotation ( 90^{circ} ) clockwise around the origin.

Explanation:

Step1: Recall the rotation rule

When a point \((x,y)\) is rotated \(90^{\circ}\) clockwise around the origin, the new coordinates \((x',y')\) are given by the rule \((x',y')=(y, -x)\).

Step2: Apply the rule to the point \(H(4,-4)\)

Here \(x = 4\) and \(y=-4\). Substitute into the formula: \(x'=-4\) and \(y'=-4\).

Answer:

The image of \(H(4, - 4)\) after a \(90^{\circ}\) clockwise rotation around the origin is \(H'(-4,-4)\).