Question

point a on the coordinate plane is translated to point a, as shown. what are the values of h and k in the translation functions f(x)=x + h and g(y)=y + k? (1 point)

Explanation:

Step1: Determine the x - coordinate change

The x - coordinate of point A is 2 and the x - coordinate of point A' is 1. The change in the x - coordinate is \(1 - 2=- 1\). In the translation function \(f(x)=x + h\), \(h\) represents the horizontal translation. So \(h=-1\).

Step2: Determine the y - coordinate change

The y - coordinate of point A is 2 and the y - coordinate of point A' is - 3. The change in the y - coordinate is \(-3 - 2=-5\). In the translation function \(g(y)=y + k\), \(k\) represents the vertical translation. So \(k = - 5\).

Answer:

\(h=-1,k=-5\)