Question

point p(-5,2) is transformed using the rule (x+3, y-1). what type of transformation occurred? a translation 3 units right and 1 unit down a reflection over the x and y axis a dilation 3 units larger and 1 unit smaller a rotation 3 units right and 1 unit left

Explanation:

Step1: Analyze the transformation rule

The rule is \((x + 3,y-1)\). In a coordinate - plane, for a point \((x,y)\), when we have \(x\to x + a\) and \(y\to y + b\), if \(a>0\), the point moves \(a\) units to the right and if \(a < 0\), it moves \(|a|\) units to the left. If \(b>0\), the point moves \(b\) units up and if \(b < 0\), it moves \(|b|\) units down. Here \(a = 3\) (so 3 units right) and \(b=-1\) (so 1 unit down).

Answer:

a translation 3 units right and 1 unit down