Question

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)

Answer 1

Coordinates for point A is (2,2) and the coordinates for point (-3,1)

Answer 2

To determine the values of \( h \) and \( k \) in the translation functions, we need to know the specific translation from point \( A(x, y) \) to point \( A'(x', y') \).

The translation functions you mentioned can be expressed in a mathematical form where:

- \( f(x) = x + h \) corresponds to a horizontal translation by \( h \) units.
- \( g(y) = y + k \) corresponds to a vertical translation by \( k \) units.

1. To find \( h \), identify how far point \( A \) has moved in the x-direction to reach point \( A' \):
\[
h = x' - x
\]

2. To find \( k \), identify how far point \( A \) has moved in the y-direction to reach point \( A' \):
\[
k = y' - y
\]

Without specific coordinates for points \( A \) and \( A' \), I can't provide the exact values for \( h \) and \( k \). If you provide those coordinates, I can help you calculate \( h \) and \( k \).

Answer 3

Given the coordinates for point \( A \) is \( (2, 2) \) and the coordinates for point \( A' \) is \( (-3, 1) \), we can calculate \( h \) and \( k \) as follows:

1. **Calculate \( h \)**:
\[
h = x' - x = -3 - 2 = -5
\]

2. **Calculate \( k \)**:
\[
k = y' - y = 1 - 2 = -1
\]

Thus, the values of \( h \) and \( k \) in the translation functions are:

- \( h = -5 \)
- \( k = -1 \)