Question

point a(2, 3) is the image of a(3, -4) under a translation. determine the translation. use non - negative numbers. a translation by blank units to the right/left and blank units up/down

Explanation:

Step1: Calculate horizontal translation

The x - coordinate of $A$ is 3 and of $A'$ is 2. The change in x - coordinate is $3 - 2=1$. Since the value of x decreases, it is a translation to the left.

Step2: Calculate vertical translation

The y - coordinate of $A$ is - 4 and of $A'$ is 3. The change in y - coordinate is $3-(-4)=3 + 4 = 7$. Since the value of y increases, it is a translation up.

Answer:

A translation by 1 unit to the left and 7 units up.