Question

directions: write a rule describing each translation below.
rule:
rule:

Explanation:

Step1: Find the horizontal and vertical change for problem 5

Let's take a point \( W\) and its image \( W'\). Suppose \( W(x,y)\) and \( W'(x',y')\). Count the units of horizontal ( \(x - \)axis) and vertical ( \(y - \)axis) movement.
If we assume a general point \((x,y)\) in the original figure and \((x',y')\) in the translated figure. For horizontal movement: if we move \(h\) units and for vertical movement \(k\) units.
For problem 5:
Take a point (say the left - most point of the original figure). Suppose the original \(x\) coordinate is \(x\) and the new \(x\) coordinate \(x'=x - 2\) (counting the units on the \(x\) - axis). The original \(y\) coordinate is \(y\) and the new \(y\) coordinate \(y'=y-5\) (counting the units on the \(y\) - axis).
The translation rule for a point \((x,y)\) is \((x,y)\to(x - 2,y - 5)\)

Step2: Find the horizontal and vertical change for problem 6

Take a point \(P\) and its image \(P'\). Suppose \(P(x,y)\) and \(P'(x',y')\).
Count the units of horizontal ( \(x - \)axis) and vertical ( \(y - \)axis) movement.
For horizontal movement: if we move \(h\) units and for vertical movement \(k\) units.
For problem 6:
Take a point (say the upper - left point of the original figure). Suppose the original \(x\) coordinate is \(x\) and the new \(x\) coordinate \(x'=x-1\) (counting the units on the \(x\) - axis). The original \(y\) coordinate is \(y\) and the new \(y\) coordinate \(y'=y - 6\) (counting the units on the \(y\) - axis).
The translation rule for a point \((x,y)\) is \((x,y)\to(x-1,y - 6)\)

Answer:

For problem 5: \((x,y)\to(x - 2,y - 5)\)
For problem 6: \((x,y)\to(x-1,y - 6)\)