Question

5
what is the rule for the transformation shown above?
oa. f(x,y)=(x + 3,y - 7)
ob. f(x,y)=(x + 1,y - 2)
oc. f(x,y)=(x - 1,y + 2)
od. f(x,y)=(x - 3,y + 7)

Explanation:

Step1: Find the horizontal translation

Take a point on the original figure, say \((2,2)\). On the translated figure, the corresponding point is \((5,-5)\).
The change in \(x\)-coordinate: \(5 - 2=3\) (right - shift, so \(x\to x + 3\))

Step2: Find the vertical translation

The change in \(y\)-coordinate: \(-5-2=-7\) (down - shift, so \(y\to y - 7\))

Answer:

A. \(f(x,y)=(x + 3,y - 7)\)