Use the image to answer the question.
A coordinate plane shows two points upper A and upper A prime plotted in quadrant 1 and quadrant 4, respectively. Both axes range from negative 5 to 5 in increments of 1.
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)
The value of h is
and the value of k is
.
Based on the image, point A is translated to point A' by moving it 4 units to the right and 2 units up.
Therefore, the value of h is 4 and the value of k is 2.
To determine the values of h and k in the translation functions, we can compare the coordinates of point A and point A'.
From the image, we can see that point A has coordinates (x, y) and point A' has coordinates (x+h, y+k), where h and k are the changes in the x-coordinate and y-coordinate, respectively.
By comparing the x-coordinates, we can determine the value of h. Looking at point A and point A', we can see that the x-coordinate of A is 0, and the x-coordinate of A' is -2. Hence, we have:
h = -2 - 0 = -2.
Similarly, by comparing the y-coordinates, we can determine the value of k. Looking at point A and point A', we can see that the y-coordinate of A is 0, and the y-coordinate of A' is -3. Hence, we have:
k = -3 - 0 = -3.
Therefore, the value of h is -2, and the value of k is -3.