Question

The verticals of a quadrilateral are p(-1,-1) , q(0,4) , r(3,1) , and s(1,-2) . Draw the figure and it’s image after the translation (x-5,y-6)

Answer 1

Answer: See image below.

Explanation: The rule
`(\text{x},\text{y})\to(\text{x}-5,\text{y}-6)` means we shift each point 5 units left and 6 units down.

Let's apply the rule to point P(-1,-1) to see where it ends up.

`(\text{x},\text{y})\to(\text{x}-5,\text{y}-6)\\\\(-1,-1)\to(-1-5,-1-6)\\\\(-1,-1)\to(-6,-7)\\\\`

The preimage P(-1,-1) moves to the image P ' (-6,-7).

Follow similar steps for points Q, R, and S. The final result is shown in the diagram below.