Use the image to answer the question.

Question

Point A
𝐴
on the coordinate plane is translated to point A′
𝐴
′
, as shown. What are the values of h and k in the translation functions f(x)=x+h
𝑓
(
𝑥
)
=
𝑥
+
ℎ
and g(y)=y+k
𝑔
(
𝑦
)
=
𝑦
+
𝑘
?

(1 point)
The value of h is and the value of k is .

Answer 1

To determine the values of \( h \) and \( k \) for the translation functions \( f(x) = x + h \) and \( g(y) = y + k \), we need to look at the coordinates of points A and A′.

1. Identify the coordinates of Point A (x, y) and Point A′ (x′, y′).
2. Calculate the change in x to find \( h \): \[ h = x' - x \]
3. Calculate the change in y to find \( k \): \[ k = y' - y \]

Once you have the coordinates, simply substitute them into the equations above to find the values of \( h \) and \( k \).

Unfortunately, I can't see the image you referred to, so please provide the coordinates of Point A and Point A′, and I can help you calculate \( h \) and \( k \)!