Respuesta :
Answer:
Step-by-step explanation:
In geometry, a transformation is an operation that moves, flips, or changes a shape (called the pilgrimage) to create a new shape (called the image). A translation is a type of transformation that moves each point in a figure the same distance in the same direction. Translations are often referred to as slides. You can describe a translation using words like "moved up 3 and over 5 to the left" or with notation. There are two types of notation to know.
One notation looks like T(3, 5). This notation tells you to add 3 to the x values and add 5 to the y values.
The second notation is a mapping rule of the form (x,y)→(x−7,y+5). This notation tells you that the x and y coordinates are translated to x−7 and y+5.
Sarah describes a translation as point P moving from P(−2,2) to P′(1,−1).
In general ,P(x,y)→P′(x+a,y+b).
In this case, P(−2,2)→P′(−2+a,2+b) or P(−2,2)→P′(1,−1)
Therefore: −2+as=1 and 2+b=−1=3 b=−3
The rule is: (x,y)→(x+3,y−3)
Micah describes a translation as point D in a diagram moving from D(1,−5) to D′(−3,1).
In general ,P(x,y)→P′(x+a,y+b).
In this case, D(1,−5)→D′(1+a,−5+b) or D(1,−5)→D′(−3,1)
D:(−1,4) D′:(6,1)
D(x,y)→D′(x+a,y+b)
So: D(−1,4)→D′(−1+a,4+b) or D(−1,4)→D′(6,1)
Therefore: −1+a=6 and 4+b=1=7 b=−3
The rule is: (x,y)→(x+7,y−3)
Therefore: 1+a=−3 and −5+b=1=−b=6
The rule is: (x,y)→(x−4,y+6)
